Integrate sync-docs directly into main-ci workflow

Co-authored-by: neilime <314088+neilime@users.noreply.github.com>

Author: Copilot

.github/workflows/__main-ci.yml

@@ -38,3 +38,17 @@ jobs:
       github-app-id: ${{ vars.CI_BOT_APP_ID }}
     secrets:
       github-app-key: ${{ secrets.CI_BOT_APP_PRIVATE_KEY }}
+
+  sync-docs:
+    needs: ci
+    if: github.event_name != 'schedule'
+    # main
+    uses: >-
+      hoverkraft-tech/public-docs/.github/workflows/sync-docs-dispatcher.yml@28c98a4b7eda20c80e9ed488f87dc1ed381476f5
+    with:
+      paths: |
+        actions
+        .github/workflows
+        README.md
+    secrets:
+      github-token: ${{ secrets.PUBLIC_DOCS_TOKEN }}

.github/workflows/sync-docs.md

@@ -48,10 +48,6 @@ Opinionated GitHub Actions and reusable workflows for foundational continuous-in
 - [Linter](.github/workflows/linter.md) — runs Super Linter and shared formatting checks across the repository.
 - [Semantic pull request](.github/workflows/semantic-pull-request.md) — enforces semantic pull request titles before merging.
 
-### Documentation
-
-- [Sync Documentation](.github/workflows/sync-docs.md) — syncs documentation to public-docs portal for publication.
-
 ## Contributing
 
 Contributions are welcome! Please see the [contributing guidelines](https://github.com/hoverkraft-tech/ci-github-publish/blob/main/CONTRIBUTING.md) for more details.