try pages pipeline

.github/workflows/pages.yml

@@ -1,9 +1,6 @@
 name: Deploy MkDocs Site to GitHub Pages
 
-on:
-  push:
-    branches:
-      - main
+on: [push, pull_request]
 
 permissions: write-all
 
@@ -12,6 +9,18 @@ jobs:
     runs-on: ubuntu-latest
     steps:
       - uses: actions/checkout@v3
+        with:
+          ref: gh-pages
+
+      - name: Copy contents to docs/
+        run: |
+          mkdir docs/
+
+      - name: Checkout main branch
+        uses: actions/checkout@v3
+        with:
+          ref: main
+          path: docs
 
       - name: Set up Python
         uses: actions/setup-python@v4
@@ -28,4 +37,5 @@ jobs:
         uses: peaceiris/actions-gh-pages@v3
         with:
           github_token: ${{ secrets.GITHUB_TOKEN }}
-          publish_dir: ./site
+          publish_branch: gh-pages
+          publish_dir: ./site