This PR separates the IWYU checks into its own CI job to provide faster feedback to developers. No other changes are made to the treatment of IWYU warnings. The existing “tidy” CI job will no longer run IWYU.
See also the discussion of #33779, specifically this comment:
Maybe a better approach would be to run the enforced sections in a separate, faster job? Some of the linters are already a bit annoying to invoke locally, so I usually just run the lint job. Doing the same for the includes seems fine to me.
Based on ideas from #32953.