test publishing in documentation_manual

Author: ericpien

.github/workflows/deploy_doc.yml

@@ -36,7 +36,7 @@ jobs:
       uses: peaceiris/actions-gh-pages@v4
       with:
         github_token: ${{ secrets.GITHUB_TOKEN }}
-        publish_branch: documentation
+        publish_branch: documentation_manual
         publish_dir: doc/_build/html
         destination_dir: docs
         enable_jekyll: false