ci: add GitHub Pages deployment and improve docs workflow

.github/workflows/check.yaml

@@ -30,3 +30,26 @@ jobs:
       - uses: dominikh/[email protected]
         with:
           install-go: false
+
+  docs-check:
+    runs-on: ubuntu-latest
+    defaults:
+      run:
+        working-directory: docs
+
+    steps:
+      - name: Checkout repository
+        uses: actions/checkout@v4
+
+      - name: Set up Node.js
+        uses: actions/setup-node@v4
+        with:
+          node-version: "24"
+          cache: "npm"
+          cache-dependency-path: docs/package-lock.json
+
+      - name: Install docs dependencies
+        run: npm ci
+
+      - name: Lint documentation
+        run: npm run lint

.github/workflows/docs.yaml

@@ -0,0 +1,61 @@
+name: Deploy Docs to GitHub Pages
+
+on:
+  push:
+    branches:
+      - main
+  pull_request:
+    branches:
+      - main
+
+permissions:
+  contents: read
+  pages: write
+  id-token: write
+
+concurrency:
+  group: "pages"
+  cancel-in-progress: false
+
+jobs:
+  build:
+    runs-on: ubuntu-latest
+    defaults:
+      run:
+        working-directory: docs
+
+    steps:
+      - name: Checkout repository
+        uses: actions/checkout@v4
+
+      - name: Set up Node.js
+        uses: actions/setup-node@v4
+        with:
+          node-version: "24"
+          cache: "npm"
+          cache-dependency-path: docs/package-lock.json
+
+      - name: Install dependencies
+        run: npm ci
+
+      - name: Build documentation
+        run: npm run build
+
+      - name: Setup Pages
+        uses: actions/configure-pages@v5
+
+      - name: Upload to GitHub Pages
+        uses: actions/upload-pages-artifact@v3
+        with:
+          path: docs/build
+
+  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