use GHA for pushing page

.github/workflows/deploy_book.yml

@@ -8,6 +8,9 @@ on:
 jobs:
   publish_book:
     runs-on: ubuntu-latest
+    permissions:
+      pages: write
+      id-token: write
     steps:
       - uses: actions/checkout@v4
       - uses: prefix-dev/[email protected]
@@ -16,4 +19,16 @@ jobs:
           environments: doc
 
       - name: Build and publish the book
-        run: pixi run -e doc publish-book
+        run: pixi run -e doc build-book
+
+      # Upload the book's HTML as an artifact
+      - name: Upload artifact
+        uses: actions/upload-pages-artifact@v2
+        with:
+          path: "book/_build/html"
+
+      # Deploy the book's HTML to GitHub Pages
+      - name: Deploy to GitHub Pages
+        id: deployment
+        uses: actions/deploy-pages@v2
+

pixi.toml

@@ -30,12 +30,10 @@ black = "*"
 
 [feature.doc.dependencies]
 jupyter-book = "*"
-ghp-import = ">=2.1.0,<3"
 
 [feature.doc.tasks]
 convert-to-notebooks = { cmd = "jupytext --to notebook --execute python_files/*.py" }
 build-book = { cmd = "jupyter-book build book", depends-on = ["convert-to-notebooks"] }
-publish-book = { cmd = "ghp-import -n -p -f book/_build/html", depends-on = ["build-book"] }
 
 [environments]
 lint = ["lint"]