Expose deprecated arguments from logger base interface

[carmocca]

What does this PR do?

jsonargparse includes the parent's arguments in the config when variadic **kwargs are included.

This means we need to explicitly list them so they don't become part of **kwargs. Now we pass them to super().__init__() so deprecation messages are raised.

I did not update the docstring of these logger classes as these are deprecated and it's already in the parent's docstring.

Fixes #12529

Does your PR introduce any breaking changes? If yes, please list them.

None

Before submitting

• Was this discussed/approved via a GitHub issue? (not for typos and docs)
• Did you read the contributor guideline, Pull Request section?
• Did you make sure your PR does only one thing, instead of bundling different changes together?
• [n/a] Did you make sure to update the documentation with your changes? (if necessary)
• [n/a] Did you write any new necessary tests? (not for typos and docs)
• Did you verify new and existing tests pass locally with your changes?
• Did you list all the breaking changes introduced by this pull request?
• Did you update the CHANGELOG? (not for typos, docs, test updates, or internal minor changes/refactorings)

PR review

• Is this pull request ready for review? (if not, please submit in draft mode)
• Check that all items from Before submitting are resolved
• Make sure the title is self-explanatory and the description concisely explains the PR
• Add labels and milestones (and optionally projects) to the PR so it can be classified

cc @Borda @awaelchli @morganmcg1 @AyushExel @borisdayma @scottire @manangoel99 @edward-io @rohitgr7 @kamil-kaczmarek @Raalsky @Blaizzy