fix: Add proper GitHub Actions workflow for Next.js static export

- Add .nojekyll to prevent Jekyll processing
- Create custom GitHub Actions workflow to build and deploy Next.js
- Use actions/upload-pages-artifact and deploy-pages for proper deployment
- Ensures the static export from 'out/' directory is deployed correctly

This fixes the issue where GitHub Pages was using Jekyll to process
the site instead of serving the Next.js static export directly.

Author: alpha912

.github/workflows/deploy.yml

@@ -0,0 +1,49 @@
+name: Deploy Next.js to GitHub Pages
+
+on:
+  push:
+    branches: ["main"]
+  workflow_dispatch:
+
+permissions:
+  contents: read
+  pages: write
+  id-token: write
+
+concurrency:
+  group: "pages"
+  cancel-in-progress: false
+
+jobs:
+  build:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+      
+      - name: Setup Node
+        uses: actions/setup-node@v4
+        with:
+          node-version: "22"
+      
+      - name: Install dependencies
+        run: npm ci
+      
+      - name: Build Next.js
+        run: npm run build
+      
+      - name: Upload artifact
+        uses: actions/upload-pages-artifact@v3
+        with:
+          path: ./out
+
+  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