ci: switch to GitHub Actions Pages deployment, suppress Jekyll

Author: ZelAnton

.github/workflows/docs.yml

@@ -7,10 +7,16 @@ on:
   workflow_dispatch:
 
 permissions:
-  contents: write
+  contents: read
+  pages: write
+  id-token: write
+
+concurrency:
+  group: pages
+  cancel-in-progress: false
 
 jobs:
-  deploy:
+  build:
     runs-on: ubuntu-latest
     steps:
       - uses: actions/checkout@v4
@@ -23,8 +29,18 @@ jobs:
       - name: Build
         run: mdbook build
 
-      - name: Deploy to gh-pages
-        uses: peaceiris/actions-gh-pages@v4
+      - name: Upload Pages artifact
+        uses: actions/upload-pages-artifact@v3
         with:
-          github_token: ${{ secrets.GITHUB_TOKEN }}
-          publish_dir: ./book
+          path: ./book
+
+  deploy:
+    needs: build
+    runs-on: ubuntu-latest
+    environment:
+      name: github-pages
+      url: ${{ steps.deployment.outputs.page_url }}
+    steps:
+      - name: Deploy to GitHub Pages
+        id: deployment
+        uses: actions/deploy-pages@v4