Write "deploy to pages" action

.github/workflows/build.yml

@@ -0,0 +1,40 @@
+# This workflow will do a clean installation of node dependencies, cache/restore them, build the source code and run tests across different versions of node
+# For more information see: https://docs.github.com/en/actions/automating-builds-and-tests/building-and-testing-nodejs
+
+name: Build feed
+
+on:
+  push:
+    branches: [ "main" ]
+  pull_request:
+    branches: [ "main" ]
+
+jobs:
+  build:
+    runs-on: ubuntu-latest
+    steps:
+    - uses: actions/checkout@v4
+    - name: Use Node.js
+      uses: actions/setup-node@v3
+      with:
+        node-version: '20.x'
+        cache: 'npm'
+    - name: Setup Bun
+      uses: oven-sh/setup-bun@v1
+      with:
+        bun-version: latest
+    - run: bun install --frozen-lockfile
+    - run: bun run build
+  deploy:
+    needs: build
+    permissions:
+      pages: write
+      id-token: write
+    environment:
+      name: github-pages
+      url: ${{ steps.deployment.outputs.page_url }}
+    runs-on: ubuntu-latest
+    steps:
+      - name: Deploy to Github Pages
+        id: deployment
+        uses: actions/deploy-pages@v4