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The flaking impeller_unittests was turned off in #38307
https://logs.chromium.org/logs/flutter/buildbucket/cr-buildbucket/8789517395354010337/+/u/test:_Host_Tests_for_host_profile/stdout
3.7-candidate.1 does not contain that.

Rebasing on #39597

I think @justinmc is OOO, @chinmaygarde can you review this since you also reviewed #39516 ?

@itsjustkevin the request flutter/flutter#120478 is approved, am I good to merge this or does the release team do that?