Setup GitHub Pages deployment

- Add gh-pages package
- Configure base URL for GitHub Pages
- Add deployment workflow
- Update router with correct basename
- Add homepage to package.json

.github/workflows/deploy.yml

@@ -0,0 +1,30 @@
+name: Deploy to GitHub Pages
+
+on:
+  push:
+    branches: [ main ]
+
+jobs:
+  build-and-deploy:
+    runs-on: ubuntu-latest
+
+    steps:
+    - uses: actions/checkout@v3
+
+    - name: Setup Node.js
+      uses: actions/setup-node@v3
+      with:
+        node-version: '18'
+        cache: 'npm'
+
+    - name: Install dependencies
+      run: npm ci
+
+    - name: Build
+      run: npm run build
+
+    - name: Deploy to GitHub Pages
+      uses: peaceiris/actions-gh-pages@v3
+      with:
+        github_token: ${{ secrets.GITHUB_TOKEN }}
+        publish_dir: ./dist