Add token-based checkout to sync-branches workflow (#4)

Author: BigSpaceships

.github/workflows/sync-branches.yml

@@ -14,13 +14,16 @@ jobs:
     runs-on: ubuntu-latest
 
     steps:
-      - uses: actions/checkout@v5
       - name: Get PAT for app
         uses: actions/create-github-app-token@v2
         id: app-token
         with:
           app-id: ${{ secrets.APP_ID }}
           private-key: ${{ secrets.APP_SECRET }}
+          
+      - uses: actions/checkout@v5
+        with:
+          token: ${{ steps.app-token.outputs.token }}
       - name: Push changes
         uses: ad-m/github-push-action@master
         with: