diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 61f09dc..5061596 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -47,24 +47,32 @@ packages:
     resolution: {integrity: sha512-9NhCeYjq9+3uxgdtp20LSiJXJvN0FeCtNGpJxuMFZ1Kv3cWUNb6DOhJwUvcVCzKGR66cw4njwM6hrJLqgOwbcw==}
     engines: {node: '>=6.9.0'}
 
-  '@babel/compat-data@7.29.3':
-    resolution: {integrity: sha512-LIVqM46zQWZhj17qA8wb4nW/ixr2y1Nw+r1etiAWgRM6U1IqP+LNhL1yg440jYZR72jCWcWbLWzIosH+uP1fqg==}
+  '@babel/code-frame@7.29.7':
+    resolution: {integrity: sha512-Aup7aUOfpbAUg2ROOJN6Iw5f9DMBlzu0mIkm/malLQFN/YQgO48wCj0Kxa3sEHJvPVFg7siR+qRInwXd2qhQKw==}
     engines: {node: '>=6.9.0'}
 
-  '@babel/core@7.29.0':
-    resolution: {integrity: sha512-CGOfOJqWjg2qW/Mb6zNsDm+u5vFQ8DxXfbM09z69p5Z6+mE1ikP2jUXw+j42Pf1XTYED2Rni5f95npYeuwMDQA==}
+  '@babel/compat-data@7.29.7':
+    resolution: {integrity: sha512-locTkQyKvwIEgBzVrn8693ebc97F2U8ZHjbXwDXJ5Fn2TCpNwTlKcaKLkdHop5c/icOFE7qt7Q9JC5hnKNa6Gg==}
+    engines: {node: '>=6.9.0'}
+
+  '@babel/core@7.29.7':
+    resolution: {integrity: sha512-RgHBCvtjbOK2gXSNBNIkNoEc9qoVEtau3hj8gEqKQuL3HZAibKarWFEI3Lfm6EYKkLalOh8eSrj9b+ch9H/VBA==}
     engines: {node: '>=6.9.0'}
 
   '@babel/generator@7.29.1':
     resolution: {integrity: sha512-qsaF+9Qcm2Qv8SRIMMscAvG4O3lJ0F1GuMo5HR/Bp02LopNgnZBC/EkbevHFeGs4ls/oPz9v+Bsmzbkbe+0dUw==}
     engines: {node: '>=6.9.0'}
 
+  '@babel/generator@7.29.8':
+    resolution: {integrity: sha512-gZbepsdh3WDtgZKWL+vTPh71LSBrm/Y4/QDZBVCcYfmeTEEuoOYwlSy+G1StfJg+/Zy550u/3TATbm7qDbbMtg==}
+    engines: {node: '>=6.9.0'}
+
   '@babel/helper-annotate-as-pure@7.27.3':
     resolution: {integrity: sha512-fXSwMQqitTGeHLBC08Eq5yXz2m37E4pJX1qAU1+2cNedz/ifv/bVXft90VeSav5nFO61EcNgwr0aJxbyPaWBPg==}
     engines: {node: '>=6.9.0'}
 
-  '@babel/helper-compilation-targets@7.28.6':
-    resolution: {integrity: sha512-JYtls3hqi15fcx5GaSNL7SCTJ2MNmjrkHXg4FSpOA/grxK8KwyZ5bubHsCq8FXCkua6xhuaaBit+3b7+VZRfcA==}
+  '@babel/helper-compilation-targets@7.29.7':
+    resolution: {integrity: sha512-wem6WaBj4NaVYVdNhLPPVacES6ZJ+KBBfSkTMD3YZxbP3rm3Di85tJU5ljaUNhaOynt+Aj0xruhYuzQBt8n71g==}
     engines: {node: '>=6.9.0'}
 
   '@babel/helper-create-class-features-plugin@7.29.3':
@@ -77,6 +85,10 @@ packages:
     resolution: {integrity: sha512-+W6cISkXFa1jXsDEdYA8HeevQT/FULhxzR99pxphltZcVaugps53THCeiWA8SguxxpSp3gKPiuYfSWopkLQ4hw==}
     engines: {node: '>=6.9.0'}
 
+  '@babel/helper-globals@7.29.7':
+    resolution: {integrity: sha512-3nQVUAtvkKH9zahfWgw96Jc/uFOmjACE1kQz82E2lqWmHBgjzbNlsC22nuQTfahmWeQtTq5nQ/4Nnd2A1wj4zA==}
+    engines: {node: '>=6.9.0'}
+
   '@babel/helper-member-expression-to-functions@7.28.5':
     resolution: {integrity: sha512-cwM7SBRZcPCLgl8a7cY0soT1SptSzAlMH39vwiRpOQkJlh53r5hdHwLSCZpQdVLT39sZt+CRpNwYG4Y2v77atg==}
     engines: {node: '>=6.9.0'}
@@ -85,12 +97,22 @@ packages:
     resolution: {integrity: sha512-l5XkZK7r7wa9LucGw9LwZyyCUscb4x37JWTPz7swwFE/0FMQAGpiWUZn8u9DzkSBWEcK25jmvubfpw2dnAMdbw==}
     engines: {node: '>=6.9.0'}
 
+  '@babel/helper-module-imports@7.29.7':
+    resolution: {integrity: sha512-ejHwrQQYcm9xnTivShn2IDOlIzInN34AXskvq9QicvCtEzq1Vzclu/tKF8Jq1Cg8JG2GL6/EmjgsCT7lXepE3g==}
+    engines: {node: '>=6.9.0'}
+
   '@babel/helper-module-transforms@7.28.6':
     resolution: {integrity: sha512-67oXFAYr2cDLDVGLXTEABjdBJZ6drElUSI7WKp70NrpyISso3plG9SAGEF6y7zbha/wOzUByWWTJvEDVNIUGcA==}
     engines: {node: '>=6.9.0'}
     peerDependencies:
       '@babel/core': ^7.0.0
 
+  '@babel/helper-module-transforms@7.29.7':
+    resolution: {integrity: sha512-UPUVSyXbOh627KiCIGQSgwWzGeBKLkaJ9PJEdrngIwMSzxLR4jS4+f1f1jb7VzBbg8nFLaYotvVPFCTqdrmTAg==}
+    engines: {node: '>=6.9.0'}
+    peerDependencies:
+      '@babel/core': ^7.0.0
+
   '@babel/helper-optimise-call-expression@7.27.1':
     resolution: {integrity: sha512-URMGH08NzYFhubNSGJrpUEphGKQwMQYBySzat5cAByY1/YgIRkULnIy3tAMeszlL/so2HbeilYloUmSpd7GdVw==}
     engines: {node: '>=6.9.0'}
@@ -113,16 +135,28 @@ packages:
     resolution: {integrity: sha512-qMlSxKbpRlAridDExk92nSobyDdpPijUq2DW6oDnUqd0iOGxmQjyqhMIihI9+zv4LPyZdRje2cavWPbCbWm3eA==}
     engines: {node: '>=6.9.0'}
 
+  '@babel/helper-string-parser@7.29.7':
+    resolution: {integrity: sha512-Pb5ijPrZ89GDH8223L4UP8i6QApWxs04RbPQJTeWDV0/keR2E36MeKnyr6LYmUUvqRRI+Iv87SuF1W6ErINzYw==}
+    engines: {node: '>=6.9.0'}
+
   '@babel/helper-validator-identifier@7.28.5':
     resolution: {integrity: sha512-qSs4ifwzKJSV39ucNjsvc6WVHs6b7S03sOh2OcHF9UHfVPqWWALUsNUVzhSBiItjRZoLHx7nIarVjqKVusUZ1Q==}
     engines: {node: '>=6.9.0'}
 
+  '@babel/helper-validator-identifier@7.29.7':
+    resolution: {integrity: sha512-qehxGkRj55h/ff8EMaJ+cYhyaKlHIxqYDn682wQD7RNp9UujOQsHog2uS0r2vzr4pW+sXf90NeeayjcNaX3fFg==}
+    engines: {node: '>=6.9.0'}
+
   '@babel/helper-validator-option@7.27.1':
     resolution: {integrity: sha512-YvjJow9FxbhFFKDSuFnVCe2WxXk1zWc22fFePVNEaWJEu8IrZVlda6N0uHwzZrUM1il7NC9Mlp4MaJYbYd9JSg==}
     engines: {node: '>=6.9.0'}
 
-  '@babel/helpers@7.29.2':
-    resolution: {integrity: sha512-HoGuUs4sCZNezVEKdVcwqmZN8GoHirLUcLaYVNBK2J0DadGtdcqgr3BCbvH8+XUo4NGjNl3VOtSjEKNzqfFgKw==}
+  '@babel/helper-validator-option@7.29.7':
+    resolution: {integrity: sha512-N9ZErrD+yW5geCDtBqnOoxmR8+tNKiGuxKlDpuJxfsqpa2dFcexaziGAE/qoHLiDDreVNMupxGmSoNlyvsA3gw==}
+    engines: {node: '>=6.9.0'}
+
+  '@babel/helpers@7.29.7':
+    resolution: {integrity: sha512-1k2lAGRMfHTcwuNYcCNUmaUffmQv8KWMfh2iJUUeRlwlwH4FdNG7mfPI10NPfLHJFThE4Tyr4mv7kTNZOiPuBg==}
     engines: {node: '>=6.9.0'}
 
   '@babel/parser@7.29.3':
@@ -130,6 +164,11 @@ packages:
     engines: {node: '>=6.0.0'}
     hasBin: true
 
+  '@babel/parser@7.29.9':
+    resolution: {integrity: sha512-CjXrNHTnvqBVqHgdBysY3vk2T8tpJHb5/RMeHJBTyVa9xgugCB0CJTx/3oO8RV2QRQP391RWpB7D6hLjm8V9uA==}
+    engines: {node: '>=6.0.0'}
+    hasBin: true
+
   '@babel/plugin-syntax-jsx@7.28.6':
     resolution: {integrity: sha512-wgEmr06G6sIpqr8YDwA2dSRTE3bJ+V0IfpzfSY3Lfgd7YWOaAdlykvJi13ZKBt8cZHfgH1IXN+CL656W3uUa4w==}
     engines: {node: '>=6.9.0'}
@@ -168,14 +207,26 @@ packages:
     resolution: {integrity: sha512-YA6Ma2KsCdGb+WC6UpBVFJGXL58MDA6oyONbjyF/+5sBgxY/dwkhLogbMT2GXXyU84/IhRw/2D1Os1B/giz+BQ==}
     engines: {node: '>=6.9.0'}
 
+  '@babel/template@7.29.7':
+    resolution: {integrity: sha512-puq+Gf35oI24FeN11LkoUQFqv9uwNeWpxXZi/Ji3rRIoKAzKnxRaZ+Gkj0vKS9ZCiTESfng1N9LyOyXvo+m+Gg==}
+    engines: {node: '>=6.9.0'}
+
   '@babel/traverse@7.29.0':
     resolution: {integrity: sha512-4HPiQr0X7+waHfyXPZpWPfWL/J7dcN1mx9gL6WdQVMbPnF3+ZhSMs8tCxN7oHddJE9fhNE7+lxdnlyemKfJRuA==}
     engines: {node: '>=6.9.0'}
 
+  '@babel/traverse@7.29.8':
+    resolution: {integrity: sha512-I5z7H3bf/41ktsNVLtpN0wAa336HkqIHQ5BuPLEhTkt1jVSyZpeNKIzTgEWmlxjdg81R0IgUCcaE+Ok3NvrfZg==}
+    engines: {node: '>=6.9.0'}
+
   '@babel/types@7.29.0':
     resolution: {integrity: sha512-LwdZHpScM4Qz8Xw2iKSzS+cfglZzJGvofQICy7W7v4caru4EaAmyUuO6BGrbyQ2mYV11W0U8j5mBhd14dd3B0A==}
     engines: {node: '>=6.9.0'}
 
+  '@babel/types@7.29.8':
+    resolution: {integrity: sha512-Vj1jF3cPfxg7OAfoI7QnVKLoILlm2JF9pnVHrX8qx7AHMiYWT+NDAA7jChlNgRS4WTLc/fD1lXLmPixluj+3Gg==}
+    engines: {node: '>=6.9.0'}
+
   '@base-ui/react@1.3.0':
     resolution: {integrity: sha512-FwpKqZbPz14AITp1CVgf4AjhKPe1OeeVKSBMdgD10zbFlj3QSWelmtCMLi2+/PFZZcIm3l87G7rwtCZJwHyXWA==}
     engines: {node: '>=14.0.0'}
@@ -786,8 +837,8 @@ packages:
   '@floating-ui/utils@0.2.11':
     resolution: {integrity: sha512-RiB/yIh78pcIxl6lLMG0CgBXAZ2Y0eVHqMPYugu+9U0AeT6YBeiJpf7lbdJNIugFP5SIjwNRgo4DhR1Qxi26Gg==}
 
-  '@hono/node-server@1.19.14':
-    resolution: {integrity: sha512-GwtvgtXxnWsucXvbQXkRgqksiH2Qed37H9xHZocE5sA3N8O8O8/8FA3uclQXxXVzc9XBZuEOMK7+r02FmSpHtw==}
+  '@hono/node-server@1.19.17':
+    resolution: {integrity: sha512-dSneS5qhiauZWGDCeK4o695Xd9nUNjviSZCMQrj10eetr8Uln1ucn6bbphOM6UynAMMtNIzZNSpL9vnASJwrPQ==}
     engines: {node: '>=18.14.1'}
     peerDependencies:
       hono: ^4
@@ -1013,8 +1064,8 @@ packages:
   '@mdx-js/mdx@3.1.1':
     resolution: {integrity: sha512-f6ZO2ifpwAQIpzGWaBQT2TXxPv6z3RBzQKpVftEWN78Vl/YweF1uwussDx8ECAXVtr3Rs89fKyG9YlzUs9DyGQ==}
 
-  '@mermaid-js/parser@1.1.1':
-    resolution: {integrity: sha512-VuHdsYMK1bT6X2JbcAaWAhugTRvRBRyuZgd+c22swUeI9g/ntaxF7CY7dYarhZovofCbUNO0G7JesfmNtjYOCw==}
+  '@mermaid-js/parser@1.2.1':
+    resolution: {integrity: sha512-n12NohV3mrUyUL2o93IgG/ifeW9FTyeJn3zDxkhwa8MJ9Fxg3HQMlA3RiGmD/3UnJvheztkjjQAjA2T4LmUcpw==}
 
   '@modelcontextprotocol/sdk@1.29.0':
     resolution: {integrity: sha512-zo37mZA9hJWpULgkRpowewez1y6ML5GsXJPY8FI0tBBCd77HEvza4jDqRKOXgHNn867PVGCyTdzqpz0izu5ZjQ==}
@@ -2303,9 +2354,9 @@ packages:
   boolbase@1.0.0:
     resolution: {integrity: sha512-JZOSA7Mo9sNGB8+UjSgzdLtokWAky1zbztM3WRLCbZ70/3cTANmQmOdR7y2g+J0e2WXywy1yS468tY+IruqEww==}
 
-  brace-expansion@5.0.5:
-    resolution: {integrity: sha512-VZznLgtwhn+Mact9tfiwx64fA9erHH/MCXEUfB/0bX/6Fz6ny5EGTXYltMocqg4xFAQZtnO3DHWWXi8RiuN7cQ==}
-    engines: {node: 18 || 20 || >=22}
+  brace-expansion@5.0.12:
+    resolution: {integrity: sha512-YovQ3rzhaLMIrDjNDMkNS01tea93qhEhG5xy8f6+R0l+dw3Ki+5sCoIoI942iuLZTHWogWktgwVDhU09iNEimQ==}
+    engines: {node: 20 || >=22}
 
   braces@3.0.3:
     resolution: {integrity: sha512-yQbXgO/OSZVD2IsiLlro+7Hf6Q18EJrKSEsdoMzKePKXct3gvD8oLcOQdIzGupr5Fj+EDe8gO/lxc1BzfMpxvA==}
@@ -2532,8 +2583,8 @@ packages:
     peerDependencies:
       cytoscape: ^3.2.0
 
-  cytoscape@3.33.3:
-    resolution: {integrity: sha512-Gej7U+OKR+LZ8kvX7rb2HhCYJ0IhvEFsnkud4SB1PR+BUY/TsSO0dmOW59WEVLu51b1Rm+gQRKoz4bLYxGSZ2g==}
+  cytoscape@3.34.3:
+    resolution: {integrity: sha512-yfYGhRcGAntq6YBD583j4n0Eg3jIxvWmZtz/5uz9UYkeIStSlMxuUja+ec5j3iBD8nv1rwaOAYMW09tBdkSeaQ==}
     engines: {node: '>=0.10'}
 
   d3-array@2.12.1:
@@ -2691,6 +2742,9 @@ packages:
   dayjs@1.11.20:
     resolution: {integrity: sha512-YbwwqR/uYpeoP4pu043q+LTDLFBLApUP6VxRihdfNTqu4ubqMlGDLd6ErXhEgsyvY0K6nCs7nggYumAN+9uEuQ==}
 
+  dayjs@1.11.23:
+    resolution: {integrity: sha512-QDTCU0M0MxR3hQfnlDJfwekQiaanm1ubOD231u73WBckQ/fsamwRLiE2GBz6D3a/xF1NgfiDLJjXBa1hYOYTtQ==}
+
   debug@4.4.3:
     resolution: {integrity: sha512-RGwwWnwQvkVfavKVt22FGLw+xYSdzARwm0ru6DhTVA3umU5hZc28V3kO4stgYryrTlLpuvgI9GiijltAjNbcqA==}
     engines: {node: '>=6.0'}
@@ -2986,12 +3040,15 @@ packages:
   fast-string-width@3.0.2:
     resolution: {integrity: sha512-gX8LrtNEI5hq8DVUfRQMbr5lpaS4nMIWV+7XEbXk2b8kiQIizgnlr12B4dA3ZEx3308ze0O4Q1R+cHts8kyUJg==}
 
-  fast-uri@3.1.2:
-    resolution: {integrity: sha512-rVjf7ArG3LTk+FS6Yw81V1DLuZl1bRbNrev6Tmd/9RaroeeRRJhAt7jg/6YFxbvAQXUCavSoZhPPj6oOx+5KjQ==}
+  fast-uri@3.1.8:
+    resolution: {integrity: sha512-GZMtZUTNRpOVIECoXwLNZS5xUGE+mVNbTB8h/7Rwh2TFWcBQiPzTgyZi05BF9UMZKkLJv8XBRJTlU7zg8+ZfMg==}
 
   fast-wrap-ansi@0.2.0:
     resolution: {integrity: sha512-rLV8JHxTyhVmFYhBJuMujcrHqOT2cnO5Zxj37qROj23CP39GXubJRBUFF0z8KFK77Uc0SukZUf7JZhsVEQ6n8w==}
 
+  fastdom@1.0.12:
+    resolution: {integrity: sha512-LB+xjSTEbjHE1cWsxu+tN2Xqr1kpi+V9aADI7sVM5ZMaXyYGPHULQMzpJMYqOTULK/73pUkWVzzObFRBkPr+hg==}
+
   fastq@1.20.1:
     resolution: {integrity: sha512-GGToxJ/w1x32s/D2EKND7kTil4n8OVk/9mycTc4VDza13lOvpUZTGX3mFSCtV9ksdGBVzvsyAVLM6mHFThxXxw==}
 
@@ -3299,8 +3356,8 @@ packages:
     resolution: {integrity: sha512-5Hh7Y1wQbvY5ooGgPbDaL5iYLAPzMTUrjMulskHLH6wnv/A+1q5rgEaiuqEjB+oxGXIVZs1FF+R/KPN3ZSQYYg==}
     engines: {node: '>=12'}
 
-  ip-address@10.2.0:
-    resolution: {integrity: sha512-/+S6j4E9AHvW9SWMSEY9Xfy66O5PWvVEJ08O0y5JGyEKQpojb0K0GKpz/v5HJ/G0vi3D2sjGK78119oXZeE0qA==}
+  ip-address@10.7.2:
+    resolution: {integrity: sha512-7H/2gFSIitxc0hG3nOI1glS8QLo/EHBFFLk8vEUjXY/xu0AdL8jZ9U1IzO2PUm0d2D/ofQcAifb0g6OBkt8U7w==}
     engines: {node: '>= 12'}
 
   ipaddr.js@1.9.1:
@@ -3427,12 +3484,12 @@ packages:
   js-tokens@4.0.0:
     resolution: {integrity: sha512-RdJUflcE3cUzKiMqQgsCu06FPu9UdIJO0beYbPhHN4k6apgJtifcoCtT9bcxOpYBtpD2kCM6Sbzg4CausW/PKQ==}
 
-  js-yaml@3.14.2:
-    resolution: {integrity: sha512-PMSmkqxr106Xa156c2M265Z+FTrPl+oxd/rgOQy2tijQeK5TxQ43psO1ZCwhVOSdnn+RzkzlRz/eY4BgJBYVpg==}
+  js-yaml@3.15.2:
+    resolution: {integrity: sha512-6EuL879VkRA+1Cz578mKMiKvjPNEuk6+r1JaFzoSWejZmtf7xWbIyw1e3KkxlkzTIt9Taw6JBhEppG7utc1P+w==}
     hasBin: true
 
-  js-yaml@4.1.1:
-    resolution: {integrity: sha512-qQKT4zQxXl8lLwBtHMWwaTcGfFOZviOJet3Oy/xmGk2gZH677CJM9EvtfdSkgWcATZhj/55JZ0rmy3myCT5lsA==}
+  js-yaml@4.3.2:
+    resolution: {integrity: sha512-SFNOvSJ+Dgf/9An904Yx+CgSlIPCkIpao4qo51lpee25TIRejdH3rhR4EZMGoNx3/TP3O+wzWuiTFl4sqbltzA==}
     hasBin: true
 
   jsesc@3.1.0:
@@ -3461,6 +3518,10 @@ packages:
     resolution: {integrity: sha512-pQpZbdBu7wCTmQUh7ufPmLr0pFoObnGUoL/yhtwJDgmmQpbkg/0HSVti25Fu4rmd1oCR6NGWe9vqTWuWv3GcNA==}
     hasBin: true
 
+  katex@0.16.47:
+    resolution: {integrity: sha512-Eeo8Ys1doU1z+x8AZsPpQu+p/QcZBI5PeOo7QGQdy2x2m0MU/hYagBbGOmXwr5KVbEfVuWv9LpnQWeehogurjg==}
+    hasBin: true
+
   khroma@2.1.0:
     resolution: {integrity: sha512-Ls993zuzfayK269Svk9hzpeGUKob/sIgZzyHYdjQoAdQetRKpOLj+k/QQQ/6Qi0Yz65mlROrfd+Ev+1+7dz9Kw==}
 
@@ -3691,8 +3752,8 @@ packages:
     resolution: {integrity: sha512-8q7VEgMJW4J8tcfVPy8g09NcQwZdbwFEqhe/WZkoIzjn/3TGDwtOCYtXGxA3O8tPzpczCCDgv+P2P5y00ZJOOg==}
     engines: {node: '>= 8'}
 
-  mermaid@11.15.0:
-    resolution: {integrity: sha512-pTMbcf3rWdtLiYGpmoTjHEpeY8seiy6sR+9nD7LOs8KfUbHE4lOUAprTRqRAcWSQ6MQpdX+YEsxShtGsINtPtw==}
+  mermaid@11.17.2:
+    resolution: {integrity: sha512-V6K3C8EBdEsPFZXSKMJe6ppQOENxuHARr9GvHX4hh47lAbhMRD9qf4oEK7LoaRQxULMa80/qt5gHO73aCleBBg==}
 
   micromark-core-commonmark@2.0.3:
     resolution: {integrity: sha512-RDBrHEMSxVFLg6xvnXmb1Ayr2WzLAWjeSATAoxwKYJV94TeNavgoIdA0a9ytzDSVzBy2YKFK+emCPOEibLeCrg==}
@@ -4078,8 +4139,8 @@ packages:
     resolution: {integrity: sha512-llQsMLSUDUPT44jdrU/O37qlnifitDP+ZwrmmZcoSKyLKvtZxpyV0n2/bD/N4tBAAZ/gJEdZU7KMraoK1+XYAg==}
     engines: {node: '>= 0.10'}
 
-  qs@6.15.1:
-    resolution: {integrity: sha512-6YHEFRL9mfgcAvql/XhwTvf5jKcOiiupt2FiJxHkiX1z4j7WL8J/jRHYLluORvc1XxB5rV20KoeK00gVJamspg==}
+  qs@6.16.0:
+    resolution: {integrity: sha512-h6fhOIaRrID2CbEY2fqs+7t+UXZo+MLAnU5gRIq85uFtdiUPCdsApMlHhXogKVM4HM2DVbIjGNTTYH2OcmP1vA==}
     engines: {node: '>=0.6'}
 
   queue-microtask@1.2.3:
@@ -4393,8 +4454,8 @@ packages:
     resolution: {integrity: sha512-7++dFhtcx3353uBaq8DDR4NuxBetBzC7ZQOhmTQInHEd6bSrXdiEyzCvG07Z44UYdLShWUyXt5M/yhz8ekcb1A==}
     engines: {node: '>=8'}
 
-  shell-quote@1.8.3:
-    resolution: {integrity: sha512-ObmnIF4hXNg1BqhnHmgbDETF8dLPCggZWBjkQfhZpbszZnYur5DUljTcCHii5LC3J5E0yeO/1LIMyH+UvHQgyw==}
+  shell-quote@1.10.0:
+    resolution: {integrity: sha512-w1aiOKwKuRgtwAReIIj89puqg+I7GvX4IbLrvmhXbzQsj1+Zwi4VO3+fa6ZF91TWSjIxoEkKnMeHcLEODK5ZXA==}
     engines: {node: '>= 0.4'}
 
   shiki@4.0.2:
@@ -4413,8 +4474,8 @@ packages:
     resolution: {integrity: sha512-WPS/HvHQTYnHisLo9McqBHOJk2FkHO/tlpvldyrnem4aeQp4hai3gythswg6p01oSoTl58rcpiFAjF2br2Ak2A==}
     engines: {node: '>= 0.4'}
 
-  side-channel@1.1.0:
-    resolution: {integrity: sha512-ZX99e6tRweoUXqR+VBrslhda51Nh5MTQwou5tnUDgbtyM0dBgmhEDtWGP/xbKn6hqfPRHujUNwz5fy/wbbhnpw==}
+  side-channel@1.1.1:
+    resolution: {integrity: sha512-6x6dK6zJdpTzF4sQeNYxwtvBzf6Eg4GtlesS94HOvTudUeyK2WXAaIfmDgsyslYrRBeFIlsi54AYsFGUuhmvrQ==}
     engines: {node: '>= 0.4'}
 
   signal-exit@3.0.7:
@@ -4473,6 +4534,9 @@ packages:
   strict-event-emitter@0.5.1:
     resolution: {integrity: sha512-vMgjE/GGEPEFnhFub6pa4FmJBRBVOLpIII2hvCZ8Kzb7K0hlHo7mQv6xYrBvCL2LtAIBwFUK8wvuJgTVSQ5MFQ==}
 
+  strictdom@1.0.1:
+    resolution: {integrity: sha512-cEmp9QeXXRmjj/rVp9oyiqcvyocWab/HaoN4+bwFeZ7QzykJD6L3yD4v12K1x0tHpqRqVpJevN3gW7kyM39Bqg==}
+
   string-width@4.2.3:
     resolution: {integrity: sha512-wKyQRQpjJ0sIp62ErSZdGsjMJWsap5oRNihHhu6G7JVO/9jIB6UyevL+tXuOqrng8j/cxKTWyWUwvSTriiZz/g==}
     engines: {node: '>=8'}
@@ -4996,19 +5060,25 @@ snapshots:
       js-tokens: 4.0.0
       picocolors: 1.1.1
 
-  '@babel/compat-data@7.29.3': {}
+  '@babel/code-frame@7.29.7':
+    dependencies:
+      '@babel/helper-validator-identifier': 7.29.7
+      js-tokens: 4.0.0
+      picocolors: 1.1.1
+
+  '@babel/compat-data@7.29.7': {}
 
-  '@babel/core@7.29.0(supports-color@10.2.2)':
+  '@babel/core@7.29.7(supports-color@10.2.2)':
     dependencies:
-      '@babel/code-frame': 7.29.0
-      '@babel/generator': 7.29.1
-      '@babel/helper-compilation-targets': 7.28.6
-      '@babel/helper-module-transforms': 7.28.6(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)
-      '@babel/helpers': 7.29.2
-      '@babel/parser': 7.29.3
-      '@babel/template': 7.28.6
-      '@babel/traverse': 7.29.0(supports-color@10.2.2)
-      '@babel/types': 7.29.0
+      '@babel/code-frame': 7.29.7
+      '@babel/generator': 7.29.8
+      '@babel/helper-compilation-targets': 7.29.7
+      '@babel/helper-module-transforms': 7.29.7(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)
+      '@babel/helpers': 7.29.7
+      '@babel/parser': 7.29.9
+      '@babel/template': 7.29.7
+      '@babel/traverse': 7.29.8(supports-color@10.2.2)
+      '@babel/types': 7.29.8
       '@jridgewell/remapping': 2.3.5
       convert-source-map: 2.0.0
       debug: 4.4.3(supports-color@10.2.2)
@@ -5026,25 +5096,33 @@ snapshots:
       '@jridgewell/trace-mapping': 0.3.31
       jsesc: 3.1.0
 
+  '@babel/generator@7.29.8':
+    dependencies:
+      '@babel/parser': 7.29.9
+      '@babel/types': 7.29.8
+      '@jridgewell/gen-mapping': 0.3.13
+      '@jridgewell/trace-mapping': 0.3.31
+      jsesc: 3.1.0
+
   '@babel/helper-annotate-as-pure@7.27.3':
     dependencies:
       '@babel/types': 7.29.0
 
-  '@babel/helper-compilation-targets@7.28.6':
+  '@babel/helper-compilation-targets@7.29.7':
     dependencies:
-      '@babel/compat-data': 7.29.3
-      '@babel/helper-validator-option': 7.27.1
+      '@babel/compat-data': 7.29.7
+      '@babel/helper-validator-option': 7.29.7
       browserslist: 4.28.2
       lru-cache: 5.1.1
       semver: 6.3.1
 
-  '@babel/helper-create-class-features-plugin@7.29.3(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)':
+  '@babel/helper-create-class-features-plugin@7.29.3(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/helper-annotate-as-pure': 7.27.3
       '@babel/helper-member-expression-to-functions': 7.28.5(supports-color@10.2.2)
       '@babel/helper-optimise-call-expression': 7.27.1
-      '@babel/helper-replace-supers': 7.28.6(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)
+      '@babel/helper-replace-supers': 7.28.6(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)
       '@babel/helper-skip-transparent-expression-wrappers': 7.27.1(supports-color@10.2.2)
       '@babel/traverse': 7.29.0(supports-color@10.2.2)
       semver: 6.3.1
@@ -5053,6 +5131,8 @@ snapshots:
 
   '@babel/helper-globals@7.28.0': {}
 
+  '@babel/helper-globals@7.29.7': {}
+
   '@babel/helper-member-expression-to-functions@7.28.5(supports-color@10.2.2)':
     dependencies:
       '@babel/traverse': 7.29.0(supports-color@10.2.2)
@@ -5067,24 +5147,40 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@babel/helper-module-transforms@7.28.6(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)':
+  '@babel/helper-module-imports@7.29.7(supports-color@10.2.2)':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/traverse': 7.29.8(supports-color@10.2.2)
+      '@babel/types': 7.29.8
+    transitivePeerDependencies:
+      - supports-color
+
+  '@babel/helper-module-transforms@7.28.6(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)':
+    dependencies:
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/helper-module-imports': 7.28.6(supports-color@10.2.2)
       '@babel/helper-validator-identifier': 7.28.5
       '@babel/traverse': 7.29.0(supports-color@10.2.2)
     transitivePeerDependencies:
       - supports-color
 
+  '@babel/helper-module-transforms@7.29.7(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)':
+    dependencies:
+      '@babel/core': 7.29.7(supports-color@10.2.2)
+      '@babel/helper-module-imports': 7.29.7(supports-color@10.2.2)
+      '@babel/helper-validator-identifier': 7.29.7
+      '@babel/traverse': 7.29.8(supports-color@10.2.2)
+    transitivePeerDependencies:
+      - supports-color
+
   '@babel/helper-optimise-call-expression@7.27.1':
     dependencies:
       '@babel/types': 7.29.0
 
   '@babel/helper-plugin-utils@7.28.6': {}
 
-  '@babel/helper-replace-supers@7.28.6(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)':
+  '@babel/helper-replace-supers@7.28.6(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/helper-member-expression-to-functions': 7.28.5(supports-color@10.2.2)
       '@babel/helper-optimise-call-expression': 7.27.1
       '@babel/traverse': 7.29.0(supports-color@10.2.2)
@@ -5100,56 +5196,66 @@ snapshots:
 
   '@babel/helper-string-parser@7.27.1': {}
 
+  '@babel/helper-string-parser@7.29.7': {}
+
   '@babel/helper-validator-identifier@7.28.5': {}
 
+  '@babel/helper-validator-identifier@7.29.7': {}
+
   '@babel/helper-validator-option@7.27.1': {}
 
-  '@babel/helpers@7.29.2':
+  '@babel/helper-validator-option@7.29.7': {}
+
+  '@babel/helpers@7.29.7':
     dependencies:
-      '@babel/template': 7.28.6
-      '@babel/types': 7.29.0
+      '@babel/template': 7.29.7
+      '@babel/types': 7.29.8
 
   '@babel/parser@7.29.3':
     dependencies:
       '@babel/types': 7.29.0
 
-  '@babel/plugin-syntax-jsx@7.28.6(@babel/core@7.29.0(supports-color@10.2.2))':
+  '@babel/parser@7.29.9':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/types': 7.29.8
+
+  '@babel/plugin-syntax-jsx@7.28.6(@babel/core@7.29.7(supports-color@10.2.2))':
+    dependencies:
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/helper-plugin-utils': 7.28.6
 
-  '@babel/plugin-syntax-typescript@7.28.6(@babel/core@7.29.0(supports-color@10.2.2))':
+  '@babel/plugin-syntax-typescript@7.28.6(@babel/core@7.29.7(supports-color@10.2.2))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/helper-plugin-utils': 7.28.6
 
-  '@babel/plugin-transform-modules-commonjs@7.28.6(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)':
+  '@babel/plugin-transform-modules-commonjs@7.28.6(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
-      '@babel/helper-module-transforms': 7.28.6(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
+      '@babel/helper-module-transforms': 7.28.6(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)
       '@babel/helper-plugin-utils': 7.28.6
     transitivePeerDependencies:
       - supports-color
 
-  '@babel/plugin-transform-typescript@7.28.6(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)':
+  '@babel/plugin-transform-typescript@7.28.6(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/helper-annotate-as-pure': 7.27.3
-      '@babel/helper-create-class-features-plugin': 7.29.3(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)
+      '@babel/helper-create-class-features-plugin': 7.29.3(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)
       '@babel/helper-plugin-utils': 7.28.6
       '@babel/helper-skip-transparent-expression-wrappers': 7.27.1(supports-color@10.2.2)
-      '@babel/plugin-syntax-typescript': 7.28.6(@babel/core@7.29.0(supports-color@10.2.2))
+      '@babel/plugin-syntax-typescript': 7.28.6(@babel/core@7.29.7(supports-color@10.2.2))
     transitivePeerDependencies:
       - supports-color
 
-  '@babel/preset-typescript@7.28.5(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)':
+  '@babel/preset-typescript@7.28.5(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/helper-plugin-utils': 7.28.6
       '@babel/helper-validator-option': 7.27.1
-      '@babel/plugin-syntax-jsx': 7.28.6(@babel/core@7.29.0(supports-color@10.2.2))
-      '@babel/plugin-transform-modules-commonjs': 7.28.6(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)
-      '@babel/plugin-transform-typescript': 7.28.6(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)
+      '@babel/plugin-syntax-jsx': 7.28.6(@babel/core@7.29.7(supports-color@10.2.2))
+      '@babel/plugin-transform-modules-commonjs': 7.28.6(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)
+      '@babel/plugin-transform-typescript': 7.28.6(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)
     transitivePeerDependencies:
       - supports-color
 
@@ -5161,6 +5267,12 @@ snapshots:
       '@babel/parser': 7.29.3
       '@babel/types': 7.29.0
 
+  '@babel/template@7.29.7':
+    dependencies:
+      '@babel/code-frame': 7.29.7
+      '@babel/parser': 7.29.9
+      '@babel/types': 7.29.8
+
   '@babel/traverse@7.29.0(supports-color@10.2.2)':
     dependencies:
       '@babel/code-frame': 7.29.0
@@ -5173,11 +5285,28 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  '@babel/traverse@7.29.8(supports-color@10.2.2)':
+    dependencies:
+      '@babel/code-frame': 7.29.7
+      '@babel/generator': 7.29.8
+      '@babel/helper-globals': 7.29.7
+      '@babel/parser': 7.29.9
+      '@babel/template': 7.29.7
+      '@babel/types': 7.29.8
+      debug: 4.4.3(supports-color@10.2.2)
+    transitivePeerDependencies:
+      - supports-color
+
   '@babel/types@7.29.0':
     dependencies:
       '@babel/helper-string-parser': 7.27.1
       '@babel/helper-validator-identifier': 7.28.5
 
+  '@babel/types@7.29.8':
+    dependencies:
+      '@babel/helper-string-parser': 7.29.7
+      '@babel/helper-validator-identifier': 7.29.7
+
   '@base-ui/react@1.3.0(@types/react@19.2.14)(react-dom@19.2.6(react@19.2.6))(react@19.2.6)':
     dependencies:
       '@babel/runtime': 7.29.2
@@ -5567,7 +5696,7 @@ snapshots:
 
   '@floating-ui/utils@0.2.11': {}
 
-  '@hono/node-server@1.19.14(hono@4.12.18)':
+  '@hono/node-server@1.19.17(hono@4.12.18)':
     dependencies:
       hono: 4.12.18
 
@@ -5767,13 +5896,13 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@mermaid-js/parser@1.1.1':
+  '@mermaid-js/parser@1.2.1':
     dependencies:
       '@chevrotain/types': 11.1.2
 
   '@modelcontextprotocol/sdk@1.29.0(supports-color@10.2.2)(zod@3.25.76)':
     dependencies:
-      '@hono/node-server': 1.19.14(hono@4.12.18)
+      '@hono/node-server': 1.19.17(hono@4.12.18)
       ajv: 8.20.0
       ajv-formats: 3.0.1(ajv@8.20.0)
       content-type: 1.0.5
@@ -6218,54 +6347,54 @@ snapshots:
 
   '@standard-schema/utils@0.3.0': {}
 
-  '@svgr/babel-plugin-add-jsx-attribute@8.0.0(@babel/core@7.29.0(supports-color@10.2.2))':
+  '@svgr/babel-plugin-add-jsx-attribute@8.0.0(@babel/core@7.29.7(supports-color@10.2.2))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
 
-  '@svgr/babel-plugin-remove-jsx-attribute@8.0.0(@babel/core@7.29.0(supports-color@10.2.2))':
+  '@svgr/babel-plugin-remove-jsx-attribute@8.0.0(@babel/core@7.29.7(supports-color@10.2.2))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
 
-  '@svgr/babel-plugin-remove-jsx-empty-expression@8.0.0(@babel/core@7.29.0(supports-color@10.2.2))':
+  '@svgr/babel-plugin-remove-jsx-empty-expression@8.0.0(@babel/core@7.29.7(supports-color@10.2.2))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
 
-  '@svgr/babel-plugin-replace-jsx-attribute-value@8.0.0(@babel/core@7.29.0(supports-color@10.2.2))':
+  '@svgr/babel-plugin-replace-jsx-attribute-value@8.0.0(@babel/core@7.29.7(supports-color@10.2.2))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
 
-  '@svgr/babel-plugin-svg-dynamic-title@8.0.0(@babel/core@7.29.0(supports-color@10.2.2))':
+  '@svgr/babel-plugin-svg-dynamic-title@8.0.0(@babel/core@7.29.7(supports-color@10.2.2))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
 
-  '@svgr/babel-plugin-svg-em-dimensions@8.0.0(@babel/core@7.29.0(supports-color@10.2.2))':
+  '@svgr/babel-plugin-svg-em-dimensions@8.0.0(@babel/core@7.29.7(supports-color@10.2.2))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
 
-  '@svgr/babel-plugin-transform-react-native-svg@8.1.0(@babel/core@7.29.0(supports-color@10.2.2))':
+  '@svgr/babel-plugin-transform-react-native-svg@8.1.0(@babel/core@7.29.7(supports-color@10.2.2))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
 
-  '@svgr/babel-plugin-transform-svg-component@8.0.0(@babel/core@7.29.0(supports-color@10.2.2))':
+  '@svgr/babel-plugin-transform-svg-component@8.0.0(@babel/core@7.29.7(supports-color@10.2.2))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
 
-  '@svgr/babel-preset@8.1.0(@babel/core@7.29.0(supports-color@10.2.2))':
+  '@svgr/babel-preset@8.1.0(@babel/core@7.29.7(supports-color@10.2.2))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
-      '@svgr/babel-plugin-add-jsx-attribute': 8.0.0(@babel/core@7.29.0(supports-color@10.2.2))
-      '@svgr/babel-plugin-remove-jsx-attribute': 8.0.0(@babel/core@7.29.0(supports-color@10.2.2))
-      '@svgr/babel-plugin-remove-jsx-empty-expression': 8.0.0(@babel/core@7.29.0(supports-color@10.2.2))
-      '@svgr/babel-plugin-replace-jsx-attribute-value': 8.0.0(@babel/core@7.29.0(supports-color@10.2.2))
-      '@svgr/babel-plugin-svg-dynamic-title': 8.0.0(@babel/core@7.29.0(supports-color@10.2.2))
-      '@svgr/babel-plugin-svg-em-dimensions': 8.0.0(@babel/core@7.29.0(supports-color@10.2.2))
-      '@svgr/babel-plugin-transform-react-native-svg': 8.1.0(@babel/core@7.29.0(supports-color@10.2.2))
-      '@svgr/babel-plugin-transform-svg-component': 8.0.0(@babel/core@7.29.0(supports-color@10.2.2))
+      '@babel/core': 7.29.7(supports-color@10.2.2)
+      '@svgr/babel-plugin-add-jsx-attribute': 8.0.0(@babel/core@7.29.7(supports-color@10.2.2))
+      '@svgr/babel-plugin-remove-jsx-attribute': 8.0.0(@babel/core@7.29.7(supports-color@10.2.2))
+      '@svgr/babel-plugin-remove-jsx-empty-expression': 8.0.0(@babel/core@7.29.7(supports-color@10.2.2))
+      '@svgr/babel-plugin-replace-jsx-attribute-value': 8.0.0(@babel/core@7.29.7(supports-color@10.2.2))
+      '@svgr/babel-plugin-svg-dynamic-title': 8.0.0(@babel/core@7.29.7(supports-color@10.2.2))
+      '@svgr/babel-plugin-svg-em-dimensions': 8.0.0(@babel/core@7.29.7(supports-color@10.2.2))
+      '@svgr/babel-plugin-transform-react-native-svg': 8.1.0(@babel/core@7.29.7(supports-color@10.2.2))
+      '@svgr/babel-plugin-transform-svg-component': 8.0.0(@babel/core@7.29.7(supports-color@10.2.2))
 
   '@svgr/core@8.1.0(supports-color@10.2.2)(typescript@5.9.3)':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
-      '@svgr/babel-preset': 8.1.0(@babel/core@7.29.0(supports-color@10.2.2))
+      '@babel/core': 7.29.7(supports-color@10.2.2)
+      '@svgr/babel-preset': 8.1.0(@babel/core@7.29.7(supports-color@10.2.2))
       camelcase: 6.3.0
       cosmiconfig: 8.3.6(typescript@5.9.3)
       snake-case: 3.0.4
@@ -6280,8 +6409,8 @@ snapshots:
 
   '@svgr/plugin-jsx@8.1.0(@svgr/core@8.1.0(supports-color@10.2.2)(typescript@5.9.3))(supports-color@10.2.2)':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
-      '@svgr/babel-preset': 8.1.0(@babel/core@7.29.0(supports-color@10.2.2))
+      '@babel/core': 7.29.7(supports-color@10.2.2)
+      '@svgr/babel-preset': 8.1.0(@babel/core@7.29.7(supports-color@10.2.2))
       '@svgr/core': 8.1.0(supports-color@10.2.2)(typescript@5.9.3)
       '@svgr/hast-util-to-babel-ast': 8.0.0
       svg-parser: 2.0.4
@@ -6387,7 +6516,7 @@ snapshots:
 
   '@tanstack/devtools-vite@0.6.0(supports-color@10.2.2)(vite@8.0.10(@types/node@25.6.0)(esbuild@0.25.12)(jiti@2.7.0)(tsx@4.21.0)(yaml@2.8.4))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/generator': 7.29.1
       '@babel/parser': 7.29.3
       '@babel/traverse': 7.29.0(supports-color@10.2.2)
@@ -6669,9 +6798,9 @@ snapshots:
 
   '@tanstack/router-plugin@1.167.2(@tanstack/react-router@1.168.1(react-dom@19.2.6(react@19.2.6))(react@19.2.6))(supports-color@10.2.2)(vite@8.0.10(@types/node@25.6.0)(esbuild@0.25.12)(jiti@2.7.0)(tsx@4.21.0)(yaml@2.8.4))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
-      '@babel/plugin-syntax-jsx': 7.28.6(@babel/core@7.29.0(supports-color@10.2.2))
-      '@babel/plugin-syntax-typescript': 7.28.6(@babel/core@7.29.0(supports-color@10.2.2))
+      '@babel/core': 7.29.7(supports-color@10.2.2)
+      '@babel/plugin-syntax-jsx': 7.28.6(@babel/core@7.29.7(supports-color@10.2.2))
+      '@babel/plugin-syntax-typescript': 7.28.6(@babel/core@7.29.7(supports-color@10.2.2))
       '@babel/template': 7.28.6
       '@babel/traverse': 7.29.0(supports-color@10.2.2)
       '@babel/types': 7.29.0
@@ -6690,9 +6819,9 @@ snapshots:
 
   '@tanstack/router-plugin@1.167.35(@tanstack/react-router@1.169.2(react-dom@19.2.6(react@19.2.6))(react@19.2.6))(supports-color@10.2.2)(vite@8.0.10(@types/node@25.6.0)(esbuild@0.25.12)(jiti@2.7.0)(tsx@4.21.0)(yaml@2.8.4))':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
-      '@babel/plugin-syntax-jsx': 7.28.6(@babel/core@7.29.0(supports-color@10.2.2))
-      '@babel/plugin-syntax-typescript': 7.28.6(@babel/core@7.29.0(supports-color@10.2.2))
+      '@babel/core': 7.29.7(supports-color@10.2.2)
+      '@babel/plugin-syntax-jsx': 7.28.6(@babel/core@7.29.7(supports-color@10.2.2))
+      '@babel/plugin-syntax-typescript': 7.28.6(@babel/core@7.29.7(supports-color@10.2.2))
       '@babel/template': 7.28.6
       '@babel/traverse': 7.29.0(supports-color@10.2.2)
       '@babel/types': 7.29.0
@@ -6716,7 +6845,7 @@ snapshots:
 
   '@tanstack/router-utils@1.161.6(supports-color@10.2.2)':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/generator': 7.29.1
       '@babel/parser': 7.29.3
       '@babel/types': 7.29.0
@@ -6730,7 +6859,7 @@ snapshots:
 
   '@tanstack/router-utils@1.161.8(supports-color@10.2.2)':
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/generator': 7.29.1
       '@babel/parser': 7.29.3
       '@babel/types': 7.29.0
@@ -6763,7 +6892,7 @@ snapshots:
   '@tanstack/start-plugin-core@1.167.5(@tanstack/react-router@1.168.1(react-dom@19.2.6(react@19.2.6))(react@19.2.6))(supports-color@10.2.2)(vite@8.0.10(@types/node@25.6.0)(esbuild@0.25.12)(jiti@2.7.0)(tsx@4.21.0)(yaml@2.8.4))':
     dependencies:
       '@babel/code-frame': 7.27.1
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/types': 7.29.0
       '@rolldown/pluginutils': 1.0.0-beta.40
       '@tanstack/router-core': 1.168.1
@@ -6795,7 +6924,7 @@ snapshots:
   '@tanstack/start-plugin-core@1.169.20(@tanstack/react-router@1.169.2(react-dom@19.2.6(react@19.2.6))(react@19.2.6))(supports-color@10.2.2)(vite@8.0.10(@types/node@25.6.0)(esbuild@0.25.12)(jiti@2.7.0)(tsx@4.21.0)(yaml@2.8.4))':
     dependencies:
       '@babel/code-frame': 7.27.1
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/types': 7.29.0
       '@rolldown/pluginutils': 1.0.0-beta.40
       '@tanstack/router-core': 1.169.2
@@ -7086,7 +7215,7 @@ snapshots:
   ajv@8.20.0:
     dependencies:
       fast-deep-equal: 3.1.3
-      fast-uri: 3.1.2
+      fast-uri: 3.1.8
       json-schema-traverse: 1.0.0
       require-from-string: 2.0.2
 
@@ -7123,7 +7252,7 @@ snapshots:
 
   babel-dead-code-elimination@1.0.12(supports-color@10.2.2):
     dependencies:
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/parser': 7.29.3
       '@babel/traverse': 7.29.0(supports-color@10.2.2)
       '@babel/types': 7.29.0
@@ -7148,7 +7277,7 @@ snapshots:
       http-errors: 2.0.1
       iconv-lite: 0.7.2
       on-finished: 2.4.1
-      qs: 6.15.1
+      qs: 6.16.0
       raw-body: 3.0.2
       type-is: 2.0.1
     transitivePeerDependencies:
@@ -7156,7 +7285,7 @@ snapshots:
 
   boolbase@1.0.0: {}
 
-  brace-expansion@5.0.5:
+  brace-expansion@5.0.12:
     dependencies:
       balanced-match: 4.0.4
 
@@ -7335,7 +7464,7 @@ snapshots:
   cosmiconfig@8.3.6(typescript@5.9.3):
     dependencies:
       import-fresh: 3.3.1
-      js-yaml: 4.1.1
+      js-yaml: 4.3.2
       parse-json: 5.2.0
       path-type: 4.0.0
     optionalDependencies:
@@ -7345,7 +7474,7 @@ snapshots:
     dependencies:
       env-paths: 2.2.1
       import-fresh: 3.3.1
-      js-yaml: 4.1.1
+      js-yaml: 4.3.2
       parse-json: 5.2.0
     optionalDependencies:
       typescript: 5.9.3
@@ -7370,17 +7499,17 @@ snapshots:
 
   csstype@3.2.3: {}
 
-  cytoscape-cose-bilkent@4.1.0(cytoscape@3.33.3):
+  cytoscape-cose-bilkent@4.1.0(cytoscape@3.34.3):
     dependencies:
       cose-base: 1.0.3
-      cytoscape: 3.33.3
+      cytoscape: 3.34.3
 
-  cytoscape-fcose@2.2.0(cytoscape@3.33.3):
+  cytoscape-fcose@2.2.0(cytoscape@3.34.3):
     dependencies:
       cose-base: 2.2.0
-      cytoscape: 3.33.3
+      cytoscape: 3.34.3
 
-  cytoscape@3.33.3: {}
+  cytoscape@3.34.3: {}
 
   d3-array@2.12.1:
     dependencies:
@@ -7562,6 +7691,8 @@ snapshots:
 
   dayjs@1.11.20: {}
 
+  dayjs@1.11.23: {}
+
   debug@4.4.3(supports-color@10.2.2):
     dependencies:
       ms: 2.1.3
@@ -7895,7 +8026,7 @@ snapshots:
   express-rate-limit@8.5.1(express@5.2.1(supports-color@10.2.2)):
     dependencies:
       express: 5.2.1(supports-color@10.2.2)
-      ip-address: 10.2.0
+      ip-address: 10.7.2
 
   express@5.2.1(supports-color@10.2.2):
     dependencies:
@@ -7919,7 +8050,7 @@ snapshots:
       once: 1.4.0
       parseurl: 1.3.3
       proxy-addr: 2.0.7
-      qs: 6.15.1
+      qs: 6.16.0
       range-parser: 1.2.1
       router: 2.2.0(supports-color@10.2.2)
       send: 1.2.1(supports-color@10.2.2)
@@ -7954,12 +8085,16 @@ snapshots:
     dependencies:
       fast-string-truncated-width: 3.0.3
 
-  fast-uri@3.1.2: {}
+  fast-uri@3.1.8: {}
 
   fast-wrap-ansi@0.2.0:
     dependencies:
       fast-string-width: 3.0.2
 
+  fastdom@1.0.12:
+    dependencies:
+      strictdom: 1.0.1
+
   fastq@1.20.1:
     dependencies:
       reusify: 1.1.0
@@ -8082,7 +8217,7 @@ snapshots:
 
   gray-matter@4.0.3:
     dependencies:
-      js-yaml: 3.14.2
+      js-yaml: 3.15.2
       kind-of: 6.0.3
       section-matter: 1.0.0
       strip-bom-string: 1.0.0
@@ -8360,7 +8495,7 @@ snapshots:
 
   internmap@2.0.3: {}
 
-  ip-address@10.2.0: {}
+  ip-address@10.7.2: {}
 
   ipaddr.js@1.9.1: {}
 
@@ -8441,12 +8576,12 @@ snapshots:
 
   js-tokens@4.0.0: {}
 
-  js-yaml@3.14.2:
+  js-yaml@3.15.2:
     dependencies:
       argparse: 1.0.10
       esprima: 4.0.1
 
-  js-yaml@4.1.1:
+  js-yaml@4.3.2:
     dependencies:
       argparse: 2.0.1
 
@@ -8470,6 +8605,10 @@ snapshots:
     dependencies:
       commander: 8.3.0
 
+  katex@0.16.47:
+    dependencies:
+      commander: 8.3.0
+
   khroma@2.1.0: {}
 
   kind-of@6.0.3: {}
@@ -8481,7 +8620,7 @@ snapshots:
   launch-editor@2.13.2:
     dependencies:
       picocolors: 1.1.1
-      shell-quote: 1.8.3
+      shell-quote: 1.10.0
 
   layout-base@1.0.2: {}
 
@@ -8577,7 +8716,7 @@ snapshots:
       lucide-react: 0.577.0(react@19.2.6)
       mdast-util-directive: 3.1.0(supports-color@10.2.2)
       mdast-util-to-string: 4.0.0
-      mermaid: 11.15.0
+      mermaid: 11.17.2
       npm-to-yarn: 3.0.1
       picocolors: 1.1.1
       react: 19.2.6
@@ -8909,23 +9048,24 @@ snapshots:
 
   merge2@1.4.1: {}
 
-  mermaid@11.15.0:
+  mermaid@11.17.2:
     dependencies:
       '@braintree/sanitize-url': 7.1.2
       '@iconify/utils': 3.1.3
-      '@mermaid-js/parser': 1.1.1
+      '@mermaid-js/parser': 1.2.1
       '@types/d3': 7.4.3
       '@upsetjs/venn.js': 2.0.0
-      cytoscape: 3.33.3
-      cytoscape-cose-bilkent: 4.1.0(cytoscape@3.33.3)
-      cytoscape-fcose: 2.2.0(cytoscape@3.33.3)
+      cytoscape: 3.34.3
+      cytoscape-cose-bilkent: 4.1.0(cytoscape@3.34.3)
+      cytoscape-fcose: 2.2.0(cytoscape@3.34.3)
       d3: 7.9.0
       d3-sankey: 0.12.3
       dagre-d3-es: 7.0.14
-      dayjs: 1.11.20
+      dayjs: 1.11.23
       dompurify: 3.4.2
       es-toolkit: 1.46.1
-      katex: 0.16.45
+      fastdom: 1.0.12
+      katex: 0.16.47
       khroma: 2.1.0
       marked: 16.4.2
       roughjs: 4.6.6
@@ -9263,7 +9403,7 @@ snapshots:
 
   minimatch@10.2.5:
     dependencies:
-      brace-expansion: 5.0.5
+      brace-expansion: 5.0.12
 
   minimist@1.2.8: {}
 
@@ -9502,9 +9642,10 @@ snapshots:
       forwarded: 0.2.0
       ipaddr.js: 1.9.1
 
-  qs@6.15.1:
+  qs@6.16.0:
     dependencies:
-      side-channel: 1.1.0
+      es-define-property: 1.0.1
+      side-channel: 1.1.1
 
   queue-microtask@1.2.3: {}
 
@@ -9917,10 +10058,10 @@ snapshots:
   shadcn@3.7.0(@types/node@25.6.0)(supports-color@10.2.2)(typescript@5.9.3):
     dependencies:
       '@antfu/ni': 25.0.0
-      '@babel/core': 7.29.0(supports-color@10.2.2)
+      '@babel/core': 7.29.7(supports-color@10.2.2)
       '@babel/parser': 7.29.3
-      '@babel/plugin-transform-typescript': 7.28.6(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)
-      '@babel/preset-typescript': 7.28.5(@babel/core@7.29.0(supports-color@10.2.2))(supports-color@10.2.2)
+      '@babel/plugin-transform-typescript': 7.28.6(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)
+      '@babel/preset-typescript': 7.28.5(@babel/core@7.29.7(supports-color@10.2.2))(supports-color@10.2.2)
       '@dotenvx/dotenvx': 1.65.0
       '@modelcontextprotocol/sdk': 1.29.0(supports-color@10.2.2)(zod@3.25.76)
       '@types/validate-npm-package-name': 4.0.2
@@ -9994,7 +10135,7 @@ snapshots:
 
   shebang-regex@3.0.0: {}
 
-  shell-quote@1.8.3: {}
+  shell-quote@1.10.0: {}
 
   shiki@4.0.2:
     dependencies:
@@ -10027,7 +10168,7 @@ snapshots:
       object-inspect: 1.13.4
       side-channel-map: 1.0.1
 
-  side-channel@1.1.0:
+  side-channel@1.1.1:
     dependencies:
       es-errors: 1.3.0
       object-inspect: 1.13.4
@@ -10075,6 +10216,8 @@ snapshots:
 
   strict-event-emitter@0.5.1: {}
 
+  strictdom@1.0.1: {}
+
   string-width@4.2.3:
     dependencies:
       emoji-regex: 8.0.0
@@ -10479,7 +10622,7 @@ snapshots:
       '@oozcitak/dom': 2.0.2
       '@oozcitak/infra': 2.0.2
       '@oozcitak/util': 10.0.0
-      js-yaml: 4.1.1
+      js-yaml: 4.3.2
 
   y18n@5.0.8: {}