diff --git a/.changeset/29255-installer-client-source-skill.md b/.changeset/29255-installer-client-source-skill.md
new file mode 100644
index 00000000000..dd942483594
--- /dev/null
+++ b/.changeset/29255-installer-client-source-skill.md
@@ -0,0 +1,10 @@
+---
+'@objectstack/skills': patch
+---
+
+docs(skills): the automation skill's OAuth recipe teaches the installer-supplied client
+
+Clause-②: no
+Metadata-protocol: none
+
+Recipe 6 of `objectstack-automation/references/integration-recipes.md` now shows `clientSource: 'installer'` beside a declared `clientId` + `credentialRef`, with when to use which: a declared client for an app its publisher deploys, the installer form for one installed on deployments the publisher never sees. The administrator registers a client with the vendor against the `redirectUri` the connection's status read answers, connects with `{ clientId, clientSecret }` (no secret for a public client; a reconnect naming no client keeps the stored one), and the connection reads back `client: { source: 'installer', clientId, hasSecret }`, never the secret.
diff --git a/scripts/check-skills-token-ratchet.mjs b/scripts/check-skills-token-ratchet.mjs
index 5e8109225b4..2d2a9b19146 100644
--- a/scripts/check-skills-token-ratchet.mjs
+++ b/scripts/check-skills-token-ratchet.mjs
@@ -957,7 +957,28 @@ export const CEILINGS = new Map([
   // and untranslated: 「A:先削重复,余额按实测提高」 — the standing path of
   // ruling record 6513306068 on #27847.
   //   ceil($(wc -c < skills/objectstack-automation/references/integration-recipes.md) / 4) == ceil(9949 / 4)
-  ['skills/objectstack-automation/references/integration-recipes.md', 2488],
+  // 9926 -> 10377 (card #29255; the file had shrunk 23 bytes under the row
+  // since, headroom 6 tokens): recipe 6 teaches `clientSource: 'installer'`
+  // beside the declared client — when to use which, the administrator's
+  // `{ clientId, clientSecret }` connect body against the status read's
+  // `redirectUri`, and the connection's `client: { source, clientId,
+  // hasSecret }` read — from content/docs/automation/connectors.mdx and the
+  // merged connector-auth schema. Paid down first, two restatements each with
+  // a surviving home: the authorization_code comment's "A user grants access
+  // once" (the paragraph under the block says an administrator connects it,
+  // once per organization), and "`client_credentials` and `app-credential`
+  // dispatch once the ref is set." (the file's opening paragraph says an unset
+  // ref leaves its instance degraded until set). The contract-review round
+  // reworded the reconnect clause ("naming no client") and paid for it inside
+  // the new text: the code comment's "each deployment's own client" restated
+  // the when-to-use sentence below the block. Arithmetic: 9926 -> 10377
+  // (+451 net: -100 cut, +551 added) -> ceil(10377 / 4) = 2595; the ceiling
+  // moves +107, pinned AT the measurement. Maintainer ruling 2026-10-27 on the
+  // seat's decision card 「skills 修复卡的教学和 eval 都撞 token 天花板,怎么付?」,
+  // tap A verbatim and untranslated: 「A:先削重复,余额按实测提高」 — the
+  // standing path of ruling record 6513306068 on #27847.
+  //   ceil($(wc -c < skills/objectstack-automation/references/integration-recipes.md) / 4) == ceil(10377 / 4)
+  ['skills/objectstack-automation/references/integration-recipes.md', 2595],
   // 5569 -> 5587 (card #26298, audit #26184 row A2): the approval config table
   // gains `excludeSubmitter` (refused beside `onEmptyApprovers: 'auto_approve'`),
   // +105 tokens. Paid down first: Best Practices 1 and 4 restated the Branching
diff --git a/skills/objectstack-automation/references/integration-recipes.md b/skills/objectstack-automation/references/integration-recipes.md
index 9e48f90b02b..a95df3173b0 100644
--- a/skills/objectstack-automation/references/integration-recipes.md
+++ b/skills/objectstack-automation/references/integration-recipes.md
@@ -159,20 +159,25 @@ Recipe 1's shape with a grant-bearing `auth`, served on `rest`, `openapi` and
 token is fetched per dispatch; no metadata key holds it.
 
 ```ts
-// A user grants access once (PKCE always on); the ref is the client secret, omitted for a public client.
+// PKCE always on; the ref is the client secret, omitted for a public client.
 auth: { type: 'oauth2', grant: 'authorization_code', authorizationUrl: 'https://account.docusign.com/oauth/auth',
         tokenUrl: 'https://account.docusign.com/oauth/token', scopes: ['signature'],
         clientId: 'objectstack-prod', credentialRef: 'DOCUSIGN_CLIENT_SECRET' }
+// Or clientSource: 'installer' in place of clientId + credentialRef.
 // Server to server: grant: 'client_credentials' with tokenUrl, clientId, credentialRef (`resource` optional).
 // Vendor app id + app secret (`vendor`: `feishu` / `dingtalk` / `wecom`):
 auth: { type: 'app-credential', vendor: 'feishu', appId: 'cli_a1b2', credentialRef: 'FEISHU_APP_SECRET' }
 ```
 
-`client_credentials` and `app-credential` dispatch once the ref is set.
 `authorization_code` is degraded "not connected" until an administrator holding
 `manage_connector_connections` connects it, once per organization, from a
 signed-in session (an agent or API key is refused):
 `POST /api/v1/automation/connectors/:name/connection` answers `{ authorizationUrl }`;
 the vendor redirects to `GET …/connectors/oauth/callback`. An `authorization_code`
 instance on `mcp` may omit the `https://` endpoints and `clientId`, discovered at connect.
+Name `clientId` for an app its publisher deploys; `clientSource: 'installer'` for one installed
+on deployments the publisher never sees: the administrator registers a client with the vendor
+against the `redirectUri` that `GET …/:name/connection` answers, then connects with `{ clientId, clientSecret }`
+(no secret for a public client; a reconnect naming no client keeps it). The connection keeps it
+encrypted; a read shows `client: { source: 'installer', clientId, hasSecret }`.
 Still never park a short-lived token behind a `bearer` ref.