feat: add cross-repo Claude dispatch from core-team-issues (#17616)

## Summary
- Add `repository_dispatch` trigger to `claude.yml` so `@claude`
mentions in `twentyhq/core-team-issues` get forwarded here
- New `claude-cross-repo` job: builds a prompt from the dispatch
payload, runs Claude Code against the twenty codebase, and posts a link
back to the source issue
- Switch both jobs to use `claude_code_oauth_token` instead of
`anthropic_api_key`

A companion workflow (`claude-dispatch.yml`) was pushed to
`twentyhq/core-team-issues` to send the dispatches.

## Test plan
- [x] Dispatch workflow in core-team-issues triggers successfully
(tested via issue #2194)
- [ ] After merge, verify `repository_dispatch` triggers the
`claude-cross-repo` job in twenty
- [ ] Verify Claude responds and posts a link back to the source issue

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-authored-by: Claude Opus 4.5 <noreply@anthropic.com>

.github/workflows/claude.yml

@@ -9,9 +9,11 @@ on:
     types: [submitted]
   issues:
     types: [opened, assigned]
+  repository_dispatch:
+    types: [claude-core-team-issues]
 
 concurrency:
-  group: ${{ github.workflow }}-${{ github.event.issue.number || github.event.pull_request.number }}
+  group: ${{ github.workflow }}-${{ github.event.issue.number || github.event.pull_request.number || github.event.client_payload.issue_number }}
   cancel-in-progress: true
 
 jobs:
@@ -73,3 +75,83 @@ jobs:
           additional_permissions: |
             actions: read
           claude_args: "--max-turns 50"
+
+  claude-cross-repo:
+    if: github.event_name == 'repository_dispatch'
+    runs-on: ubuntu-latest
+    timeout-minutes: 60
+    services:
+      postgres:
+        image: postgres:16
+        env:
+          POSTGRES_USER: postgres
+          POSTGRES_PASSWORD: postgres
+          POSTGRES_DB: postgres
+        ports:
+          - 5432:5432
+        options: >-
+          --health-cmd pg_isready
+          --health-interval 10s
+          --health-timeout 5s
+          --health-retries 5
+      redis:
+        image: redis
+        ports:
+          - 6379:6379
+    steps:
+      - uses: actions/checkout@v4
+        with:
+          fetch-depth: 0
+      - name: Install dependencies
+        uses: ./.github/actions/yarn-install
+      - name: Build shared dependencies
+        run: |
+          npx nx build twenty-shared
+          npx nx build twenty-emails
+      - name: Setup env files
+        run: |
+          npx nx reset:env twenty-front
+          npx nx reset:env twenty-server
+      - name: Create databases
+        run: |
+          PGPASSWORD=postgres psql -h localhost -p 5432 -U postgres -d postgres -c 'CREATE DATABASE "default";'
+          PGPASSWORD=postgres psql -h localhost -p 5432 -U postgres -d postgres -c 'CREATE DATABASE "test";'
+      - name: Build prompt from dispatch payload
+        id: prompt
+        uses: actions/github-script@v7
+        with:
+          script: |
+            const p = context.payload.client_payload;
+            let prompt;
+            if (p.comment_body) {
+              prompt = `You are responding to a comment on issue #${p.issue_number} ("${p.issue_title}") in the ${p.repo_full_name} repository.\n\nThe comment by @${p.sender} says:\n\n${p.comment_body}\n\nIssue body:\n\n${p.issue_body}\n\nPlease help with this request. The code you are working with is the twenty codebase (this repository).`;
+            } else {
+              prompt = `You are responding to issue #${p.issue_number} ("${p.issue_title}") in the ${p.repo_full_name} repository, opened by @${p.sender}.\n\nIssue body:\n\n${p.issue_body}\n\nPlease help with this request. The code you are working with is the twenty codebase (this repository).`;
+            }
+            core.setOutput('prompt', prompt);
+            core.setOutput('repo', p.repo_full_name);
+            core.setOutput('issue_number', p.issue_number);
+      - name: Run Claude Code
+        id: claude
+        uses: anthropics/claude-code-action@v1
+        with:
+          claude_code_oauth_token: ${{ secrets.CLAUDE_CODE_OAUTH_TOKEN }}
+          prompt: ${{ steps.prompt.outputs.prompt }}
+          additional_permissions: |
+            actions: read
+          claude_args: "--max-turns 50"
+      - name: Post response to source issue
+        if: always()
+        uses: actions/github-script@v7
+        with:
+          github-token: ${{ secrets.TWENTY_DISPATCH_TOKEN }}
+          script: |
+            const [owner, repo] = '${{ steps.prompt.outputs.repo }}'.split('/');
+            const issueNumber = parseInt('${{ steps.prompt.outputs.issue_number }}', 10);
+
+            await github.rest.issues.createComment({
+              owner,
+              repo,
+              issue_number: issueNumber,
+              body: `Claude finished processing this request. [See workflow run](${context.serverUrl}/${context.repo.owner}/${context.repo.repo}/actions/runs/${context.runId})`
+            });