Replace delete-merged-branch action with GitHub script

Signed-off-by: Riley Jerger <[email protected]>

Author: RileyJergerAmazon

.github/workflows/delete_backport_branch.yml

@@ -7,6 +7,8 @@ on:
 jobs:
   delete-branch:
     runs-on: ubuntu-latest
+    permissions:
+      contents: write
     if: startsWith(github.event.pull_request.head.ref,'backport/') || startsWith(github.event.pull_request.head.ref,'release-chores/')
     steps:
       - name: Delete merged branch