chore: add GitHub CLI authentication steps to e2e workflow

Author: pelikhan

.github/workflows/e2e.yml

@@ -4,6 +4,9 @@ on:
   schedule:
     - cron: '0 3 * * *'  # Run nightly at 03:00 UTC
   workflow_dispatch: {}
+  push:
+    paths:
+      - '.github/workflows/e2e.yml'
 
 permissions:
   contents: read
@@ -17,6 +20,13 @@ jobs:
     steps:
       - name: Checkout
         uses: actions/checkout@v4
+      - name: GitHub CLI - authenticate and show auth status
+        env:
+          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+        run: |
+          gh auth status
+          echo "$GITHUB_TOKEN" | gh auth login --with-token
+          gh auth status
       - name: Run e2e tests and publish output to job summary
         env:
           GITHUB_STEP_SUMMARY: ${{ github.step_summary }}