Delete internal `ReactPackageLogger` as no longer necessary (#53387)

Summary:
Pull Request resolved: https://github.com/facebook/react-native/pull/53387

This interface was internal and legacy arch only, so it can safely be removed.
I've also removed the logic inside `ReactInstanceManager` that was using it as no longer necessary.

Changelog:
[Internal] [Changed] -

Reviewed By: mdvacca

Differential Revision: D80626639

fbshipit-source-id: b173e71b92e29cebbfc5ed589e01ac295eda2bf0