add action for GH pages with mdbook action

.github/workflows/gh-pages.yml

@@ -0,0 +1,42 @@
+name: Deploy Github Pages
+
+on:
+  push:
+    branches:
+      - main
+    paths:
+      - 'README.md'
+      - 'docs/book/**'
+  pull_request:
+     paths:
+      - 'README.md'
+      - 'docs/book/**'
+
+jobs:
+  deploy:
+    runs-on: ubuntu-latest
+    # Grant GITHUB_TOKEN the permissions required to make a Pages deployment
+
+    permissions:
+      pages: write      # to deploy to Pages
+      id-token: write   # to verify the deployment originates from an appropriate source
+
+    concurrency:
+      group: ${{ github.workflow }}-${{ github.ref }}
+
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Setup mdBook
+        uses: peaceiris/actions-mdbook@v1
+        with:
+          mdbook-version: '0.4.37'
+
+      - run: mdbook build
+
+      - name: Deploy
+        uses: peaceiris/actions-gh-pages@v3
+        if: ${{ github.ref == 'refs/heads/main' }}
+        with:
+          github_token: ${{ secrets.GITHUB_TOKEN }}
+          publish_dir: ./docs/book/public

docs/book/book.toml

@@ -4,3 +4,9 @@ language = "en"
 multilingual = false
 src = "src"
 title = "Cluster API Provider Linode Book"
+
+[build]
+build-dir = "public"
+
+[output.html]
+git-repository-url = "https://github.com/linode/cluster-api-provider-linode"