chore(deps): autoupdate (needs claude fix)

[github-actions]

The dependency autoupdater failed during builds-and-checks.

Run log: https://github.com/dudko-dev/agent-web/actions/runs/33933912522

A Claude session has been dispatched to push fixes onto this branch
so the following commands all exit 0:

  npm run typecheck
  npm run format:check
  npm run build
  npm test

Claude will leave a status comment on this PR when it finishes.
The Claude workflow re-dispatches PR-checks once it is done, so the
checks below reflect its pushed fixes.

[claude]

Autoupdate fix-up status

• npm run typecheck — passed on first run.
• npm run format:check — passed on first run.
• npm run build — failed initially: the autoupdater bumped typescript devDependency from ^5.9.3 to ^7.0.2, and tsup's dts bundler (rollup-plugin-dts) crashes against TypeScript 7's compiler API (TypeError: Cannot read properties of undefined (reading 'useCaseSensitiveFileNames')). This is a tooling incompatibility, not a source issue.
• npm test — depends on the build (pretest hook), so it failed transitively until the build was fixed.

Fix applied: reverted only the typescript devDependency back to ^5.9.3 (the previous known-good version) in package.json/package-lock.json. All other legitimate bumps from the autoupdater (ai, zod, @ai-sdk/*) were kept as-is. No product/source logic was touched.

After the fix, all four commands are green:

• npm run typecheck ✅
• npm run format:check ✅
• npm run build ✅
• npm test ✅ (96/96 tests pass)

Pushed commit 4fa5d7f to chore/autoupdate-33933912522.