chore: simplify GitHub CLI authentication step in e2e workflow

Author: pelikhan

.github/workflows/e2e.yml

@@ -20,16 +20,15 @@ jobs:
     steps:
       - name: Checkout
         uses: actions/checkout@v4
-      - name: GitHub CLI - authenticate and show auth status
+      - name: GitHub CLI - 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 }}
+          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
         run: |
           set -o pipefail
           chmod +x ./e2e.sh