ci: Only publish docs in public repos (#6687)

Author: mathbunnyru

.github/workflows/publish-docs.yml

@@ -81,13 +81,13 @@ jobs:
           cmake --build . --target docs --parallel ${BUILD_NPROC}
 
       - name: Create documentation artifact
-        if: ${{ github.event_name == 'push' }}
+        if: ${{ github.event.repository.visibility == 'public' && github.event_name == 'push' }}
         uses: actions/upload-pages-artifact@7b1f4a764d45c48632c6b24a0339c27f5614fb0b # v4.0.0
         with:
           path: ${{ env.BUILD_DIR }}/docs/html
 
   deploy:
-    if: ${{ github.event_name == 'push' }}
+    if: ${{ github.event.repository.visibility == 'public' && github.event_name == 'push' }}
     needs: build
     runs-on: ubuntu-latest
     permissions: