ci: use deploy using github actions instead of branch

Using a branch is broken when using the mirroring. So use straight
deployment using github actions.

Signed-off-by: Arthur Zamarin <arthurzam@gentoo.org>

Author: arthurzam

.github/workflows/doc.yml

@@ -3,9 +3,19 @@ name: doc
 on:
   push:
     branches: [main]
+  workflow_dispatch:
+
+permissions:
+  contents: read
+  pages: write
+  id-token: write
+
+concurrency:
+  group: "pages"
+  cancel-in-progress: true
 
 jobs:
-  build-and-deploy:
+  build:
     runs-on: ubuntu-latest
     steps:
     - name: Checkout code
@@ -27,10 +37,19 @@ jobs:
         # notify github this isn't a jekyll site
         touch build/sphinx/html/.nojekyll
 
-    - name: Deploy docs to gh-pages
-      uses: JamesIves/github-pages-deploy-action@v4
+    - name: Upload artifact
+      uses: actions/upload-pages-artifact@v1
       with:
-        token: ${{ secrets.GITHUB_TOKEN }}
-        branch: gh-pages
-        folder: build/sphinx/html
-        single-commit: true
+        path: build/sphinx/html
+
+  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