Add GitHub workflow to delete stale branches (#8318)

* Add GitHub workflow to delete stale branches

* chore: update version

Author: sestinj

.github/workflows/delete-stale-branches.yaml

@@ -0,0 +1,22 @@
+name: Delete Stale Branches
+
+on:
+  schedule:
+    - cron: "0 6 * * 1-5"
+  workflow_dispatch:
+
+permissions:
+  issues: write
+  contents: write
+
+jobs:
+  stale_branches:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Stale Branches
+        uses: crs-k/[email protected]
+        with:
+          repo-token: "${{ secrets.GITHUB_TOKEN }}"
+          pr-check: true
+          dry-run: true
+          ignore-issue-interaction: true