try other deploy approach

.github/workflows/gh-pages.yml

@@ -1,26 +1,44 @@
-name: GitHub Pages
+name: Deploy to GitHub Pages
 
 on:
+  # Runs on pushes targeting the default branch
   push:
-    branches:
-      - sphinx  # Set a branch name to trigger deployment
-  pull_request:
+    branches: ["sphinx"]
+  # Allows you to run this workflow manually from the Actions tab
+  workflow_dispatch:
+
+# Sets permissions of the GITHUB_TOKEN to allow deployment to GitHub Pages
+permissions:
+  contents: read
+  pages: write
+  id-token: write
+
+# Allow one concurrent deployment
+concurrency:
+  group: "pages"
+  cancel-in-progress: true
 
 jobs:
-  deploy:
-    runs-on: ubuntu-22.04
-    permissions:
-      contents: write
-    concurrency:
-      group: ${{ github.workflow }}-${{ github.ref }}
+  # Build job
+  build:
+    runs-on: ubuntu-latest
     steps:
-      - uses: actions/checkout@v3
-      - name: Deploy
-        uses: peaceiris/actions-gh-pages@v3
-        # If you're changing the branch from main,
-        # also change the `main` in `refs/heads/main`
-        # below accordingly.
-        if: ${{ github.ref == 'refs/heads/sphinx' }}
-        with:
-          github_token: ${{ secrets.GITHUB_TOKEN }}
-          publish_dir: ./test
+      - name: Checkout
+        uses: actions/checkout@v3
+      - name: Setup Pages
+        uses: actions/configure-pages@v2
+      - run: "mkdir -p _site && echo foo > _site/index.html"
+      - name: Upload artifact
+        uses: actions/upload-pages-artifact@v1
+
+  # Deployment job
+  deploy:
+    environment:
+      name: github-pages
+      url: ${{ steps.deployment.outputs.page_url }}
+    runs-on: ubuntu-latest
+    needs: build
+    steps:
+      - name: Deploy to GitHub Pages
+        id: deployment
+        uses: actions/deploy-pages@v1