Try this

Author: penelopeysm

.github/workflows/publish.yml

@@ -6,10 +6,9 @@ on:
 name: Publish
 
 jobs:
-  build-deploy:
+  build:
     runs-on: ubuntu-latest
-    permissions:
-      contents: write
+
     steps:
       - name: Check out repository
         uses: actions/checkout@v4
@@ -25,9 +24,23 @@ jobs:
         with: 
           version: pre-release
 
-      - name: Render and publish
-        uses: quarto-dev/quarto-actions/publish@v2
+      - name: Render
+        uses: quarto-dev/quarto-actions/render@v2
+
+      - name: Upload artifact
+        id: deployment
+        uses: actions/upload-pages-artifact@v3
         with:
-          target: gh-pages
-        env:
-          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+          path: _book
+
+  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@v4