Replace `no-response` with `stale` action

[jeffpaul]

Description of the Change

This PR replaces the lee-dohm/no-response action with the actions/stale action. I had noticed recently that there were lots of No Response action failures, and after looking into it appears that the former action was no longer supported, throwing node 12/16 warnings, and the hope in changing to a GitHub first-party action will be improved stability (aka action runs not failing randomly) and proper node version support.

How to test the Change

Check the updated run on this PR

Changelog Entry

Changed - Replaced lee-dohm/no-response with actions/stale to help with closing no-response/stale issues.

Credits

Props @jeffpaul.

Checklist:

• [x] I agree to follow this project's Code of Conduct.
• [ ] I have updated the documentation accordingly.
• [ ] I have added tests to cover my change.
• [ ] All new and existing tests pass.