Integrate new tooling into pull request CI

## Summary

In order to reduce the manual load on the editor, it is important that steps run automatically as far as reasonably possible.

## Work proposal

Create a CI workflow which, on pull requests runs the tools created in #1235, #1237, #1238, #1239 and sends diagnostics in a comment on the GitHub PR, adding labels and tagging either the author or the editor as appropriate.