switched docs deployment method

.github/workflows/docs.yml

@@ -9,7 +9,7 @@ permissions:
   contents: write
 
 jobs:
-  build-and-deploy:
+  build:
     runs-on: ubuntu-latest
     steps:
       - uses: actions/checkout@v4
@@ -41,8 +41,22 @@ jobs:
           rm ./source/*.rst
           make html
           touch ./build/html/.nojekyll
-      - name: Deploy to GitHub Pages
-        uses: JamesIves/github-pages-deploy-action@v4
+      - name: Upload artifact
+        uses: actions/upload-pages-artifact@v3
         with:
-          branch: gh-pages
-          folder: docs/build/html
+          path: docs/build/html
+
+  deploy:
+    needs: build
+    runs-on: ubuntu-latest
+    permissions:
+      contents: read
+      pages: write
+      id-token: write
+    environment:
+      name: github-pages
+      url: ${{ steps.deployment.outputs.page_url }}
+    steps:
+      - name: Deploy to GitHub Pages
+        id: deployment
+        uses: actions/deploy-pages@v4