Change build.yml to use mdbook

.github/workflows/build.yml

@@ -1,19 +1,59 @@
-name: CI
+name: Build the book and deploy to github pages
 
 on:
-  pull_request:
   push:
+    branches: [ master, mdbook ]
+
+  # Allows you to run this workflow manually from the Actions tab
+  workflow_dispatch:
+
+# Sets permissions of the GITHUB_TOKEN to allow deployment to GitHub Pages
+permissions:
+  contents: read
+  pages: write
+  id-token: write
+
+# Allow only one concurrent deployment, skipping runs queued between the run in-progress and latest queued.
+# However, do NOT cancel in-progress runs as we want to allow these production deployments to complete.
+concurrency:
+  group: "pages"
+  cancel-in-progress: false
+
 
 jobs:
   build:
     runs-on: ubuntu-latest
     steps:
-      - uses: actions/checkout@v2
+      - uses: actions/checkout@v4
 
       - name: Install Nix
         uses: cachix/install-nix-action@v16
         with:
           nix_path: nixpkgs=channel:nixos-unstable
 
+      - name: Setup Pages
+        id: pages
+        uses: actions/configure-pages@v5
+
+      - name: Install mdbook
+        run: nix-env -iA mdbook mdbook-linkcheck -f '<nixpkgs>'
+
       - name: Build the book
-        run: nix-build release.nix
+        run: export PATH=~/.nix-profile/bin:$PATH && mdbook build
+
+      - name: Upload artifact
+        uses: actions/upload-pages-artifact@v3
+        with:
+          path: ./book/html
+
+  # Deployment job
+  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