@phil-allen-msft ptal

Thanks for your PR, @tmat.
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stderr design in #7289

@KalleOlaviNiemitalo
dotnet-watch outputs 4 different categories of output: verbose, ordinary, warning, error. All are regular, expected output. They vary in significance to the user. There are no scenarios where it would be useful to run dotnet-watch and only see errors, or non-errors. On the other hand, a common scenario is to display verbose messages (--verbose), which are not printed out by default.

Ordinary output describes context for error messages. It is important that both are printed out in the correct order, otherwise the proper context might be missing.