feat: add support for plugin usage with dedicated wrappers and logging

[bjohansebas]

Summary

I still need to add tests. This is so that when webpack-dev-server is used as a plugin, we don’t flood the logs and it respects the webpack logger option.

What kind of change does this PR introduce?

Did you add tests for your changes?

Does this PR introduce a breaking change?

If relevant, what needs to be documented once your changes are merged or what have you already documented?

Use of AI

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 97.02%. Comparing base (df7ddb4) to head (f149b0a).

Additional details and impacted files

@@            Coverage Diff             @@
##             next    #2272      +/-   ##
==========================================
+ Coverage   96.92%   97.02%   +0.09%     
==========================================
  Files          13       13              
  Lines         911      940      +29     
  Branches      266      275       +9     
==========================================
+ Hits          883      912      +29     
  Misses         28       28              

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