Revert "Use the standard github token in places where we don't need to recursively trigger automations."

This reverts commit 6f2f1d6eb0.

.github/workflows/new-release.yml

@@ -15,6 +15,7 @@ jobs:
       - name: Run New Release
         uses: ./new-release
         with:
+          token: ${{secrets.VSCODE_ISSUE_TRIAGE_BOT_PAT}}
           label: new release
           labelColor: "006b75"
           labelDescription: Issues found in a recent release of VS Code