fix: re-export CDP Session directly from playwright

[mrginglymus]

Description

Fix removal of the playwright-core/types/protocol export.

Should fix #8671 for v3

Unfortunately, the playwright.d.ts file is not type checked owing to skipLibCheck being true.

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[sheremet-va]

LGTM

The base branch was changed.

[sheremet-va]

Please, merge the conflicts, we don't do backports without the fix being in main. Also, v3 branch is for v3.0.

[mrginglymus]

@sheremet-va raised #8702 for v4. Given two of the three files are new in v4 I'll leave this branch around for the backport to v3 as it's un-cherry-pickable.

[mrginglymus]

Thanks for merging the other PR @sheremet-va - what would be the process for getting this fixed in v3?