refactor: use stricter CDP implementation type of CDPSession

[alexey-pelykh]

What kind of change does this PR introduce?

Tiny typing improvement.

Did you add tests for your changes?

There's no functional change

If relevant, did you update the documentation?

No - nothing affected

Summary

As a part of #13613 there were few typing changes so that CDP FrameManager uses CDP-specific session.

Does this PR introduce a breaking change?

Nope

Other information

N/A

[Lightning00Blade]

I would prefer to not include a runtime checks when this is internal code, that users won't ever interact with, TypeScript safety should be enough for internal parts.
(I know that there was already one, but that should not be there as well).

I looked into changing the types, only and it looked like it was failing in a couple of places due to changing the constructor. And without that change other places don't benefit as much with this change.

[alexey-pelykh]

@Lightning00Blade thanks for the review! Your points are perfectly valid - I've tried to avoid runtime checks and gradually replace non-CDP-specific types with CDP-specific ones and eventually got success, at least it looks like it.

[Lightning00Blade]

Thanks for the PR, left some comments.

[Lightning00Blade]

Over all looks really good, thanks for the PR.
Left some comments, that need to be fixed before merging

[Lightning00Blade]

Thanks for the PR.