generate docs on push, deploy on main

.github/workflows/docs.yml

@@ -4,7 +4,9 @@ name: Docs
 on:
   # Runs on pushes targeting the default branch
   push:
-    branches: ["main"]
+    branches:
+      - main
+      - staging
 
   # Allows you to run this workflow manually from the Actions tab
   workflow_dispatch:
@@ -115,6 +117,7 @@ jobs:
       url: ${{ steps.deployment.outputs.page_url }}
     runs-on: ubuntu-latest
     needs: [build-02, build-04]
+    if: ${{ needs.build-02.result == 'success' && needs.build-04.result == 'success' && github.ref == 'refs/heads/main' }}
     steps:
       - uses: actions/download-artifact@v4
         with: