feat: apply biome formatting as github action

.github/workflows/format.yml

@@ -0,0 +1,46 @@
+name: Biome Format
+
+on:
+  push:
+    branches: [ main, master ]
+  pull_request:
+    branches: [ main, master ]
+  workflow_dispatch:
+
+jobs:
+  format:
+    runs-on: ubuntu-latest
+    
+    permissions:
+      # We need to give the default GITHUB_TOKEN write permission to commit and push
+      contents: write
+      
+    steps:
+      - uses: actions/checkout@v4
+        with:
+          ref: ${{ github.head_ref }}
+          
+      - name: Setup Node.js
+        uses: actions/setup-node@v4
+        with:
+          node-version: '20'
+          
+      - name: Install Biome
+        run: npm install --global @biomejs/biome
+          
+      - name: Format with Biome
+        run: biome format --write .
+        
+      - name: Check for changes
+        id: git-check
+        run: |
+          git diff --exit-code || echo "changes=true" >> $GITHUB_OUTPUT
+          
+      - name: Commit changes
+        if: steps.git-check.outputs.changes == 'true'
+        run: |
+          git config --local user.email "github-actions[bot]@users.noreply.github.com"
+          git config --local user.name "github-actions[bot]"
+          git add -A
+          git commit -m "chore: format code"
+          git push