feat(skills): sync AGENTS.md to AI-specific formats (#9751)

Co-authored-by: Alan-TheGentleman <alan@thegentleman.dev>
Co-authored-by: pedrooot <pedromarting3@gmail.com>
Co-authored-by: Andoni A. <14891798+andoniaf@users.noreply.github.com>

.github/workflows/api-container-checks.yml

@@ -74,6 +74,7 @@ jobs:
             api/docs/**
             api/README.md
             api/CHANGELOG.md
+            api/AGENTS.md
 
       - name: Set up Docker Buildx
         if: steps.check-changes.outputs.any_changed == 'true'