Feat: add web build workflow on push

.github/workflows/build-web.yml

@@ -0,0 +1,26 @@
+name: Build Web
+on:
+  push:
+jobs:
+  build:
+    runs-on: ubuntu-latest
+    permissions:
+      contents: write
+    steps:
+      - uses: actions/checkout@v4
+
+      - uses: oven-sh/setup-bun@v2
+        with:
+          bun-version: latest
+
+      - run: bun install
+
+      - run: bun run build:web
+
+      - name: Commit and push dist/web
+        run: |
+          git config user.name "github-actions[bot]"
+          git config user.email "github-actions[bot]@users.noreply.github.com"
+          git add dist/web -f
+          git diff --cached --quiet || git commit -m "build: web"
+          git push