Update trainer profiler typehint to use Profiler instead of the deprecated BaseProfiler

[mads-oestergaard]

What does this PR do?

Fixes #13046

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?
• Did you make sure to update the documentation with your changes? (if necessary)
• 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 minor internal changes/refactors)

PR review

Anyone in the community is welcome to review the PR.
Before you start reviewing, make sure you have read the review guidelines. In short, see the following bullet-list:

• 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

Did you have fun?

Make sure you had fun coding 🙃

[mads-oestergaard]

Does this PR qualify for a new line in the changelog?
And do I have to add labels to it?

[akihironitta]

Thanks for working on this!

Does this PR qualify for a new line in the changelog?

Yes, let's add a changelog entry :]

And do I have to add labels to it?

Done! Thanks for checking :)

[mads-oestergaard]

Yes, let's add a changelog entry :]

Perfect! I've just pushed an update to the changelog :)