cleanup: remove webpack dependency

[benmccann]

What I did

Removed webpack as a dependency from core-client as it isn't actually used by this package

Made webpack only a devDependency in core-common as it's only used in the tests

I want to remove this dependency because people who are using builder-vite don't need it

How to test

This should be covered by existing tests and shouldn't need any new tests

• Is this testable with Jest or Chromatic screenshots?
• Does this need a new example in the kitchen sink apps?
• Does this need an update to the documentation?

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[yannbf]

Thanks for your PR @benmccann!
@ndelangen this seems relevant to the prebuilt manager work

[ndelangen]

Cool! I'll deal with the merge conflicts upstream in future/base