add github action to deploy the example site of the theme

.github/workflows/deploy-example.yml

@@ -0,0 +1,69 @@
+# Sample workflow for building and deploying a Hugo site to GitHub Pages
+name: Deploy Theme Example
+
+on:
+  # Runs on pushes targeting the default branch
+  push:
+    branches:
+    - main
+
+# 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
+
+# Default to bash
+defaults:
+  run:
+    shell: bash
+
+jobs:
+  # Build job
+  build:
+    runs-on: ubuntu-latest
+    env:
+      HUGO_VERSION: 0.128.0
+    steps:
+    - name: Install Hugo CLI
+      run: |
+        wget -O ${{ runner.temp }}/hugo.deb https://github.com/gohugoio/hugo/releases/download/v${HUGO_VERSION}/hugo_extended_${HUGO_VERSION}_linux-amd64.deb \
+        && sudo dpkg -i ${{ runner.temp }}/hugo.deb
+    - name: Checkout
+      uses: actions/checkout@v4
+      with:
+        submodules: recursive
+        fetch-depth: 0
+    - name: Setup Pages
+      id: pages
+      uses: actions/configure-pages@v5
+    - name: Install Node.js dependencies
+      run: "[[ -f package-lock.json || -f npm-shrinkwrap.json ]] && npm ci || true"
+    - name: Build with Hugo
+      env:
+        HUGO_CACHEDIR: ${{ runner.temp }}/hugo_cache
+        HUGO_ENVIRONMENT: production
+        TZ: America/Los_Angeles
+      run: "cd example-site && hugo --gc --minify --baseURL \"${{ steps.pages.outputs.base_url }}/\" --source . --themesDir ../../ --theme smigle-lite --destination ../.public"
+    - name: Upload artifact
+      uses: actions/upload-pages-artifact@v3
+      with:
+        path: .public
+
+  # 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