Documentation

https://docs.python.org/3.13/faq/library.html#can-t-we-get-rid-of-the-global-interpreter-lock (link is to the current alpha version)

Obviously work is in progress to remove the GIL which isn't reflected in the FAQ yet.

Also the second option:

It has been suggested that the GIL should be a per-interpreter-state lock rather than truly global; interpreters then wouldn’t be able to share objects. Unfortunately, this isn’t likely to happen either.

If I understand correctly, interpreters with an isolated GIL are now at least partially implemented in a release version and again this isn't reflected in the FAQ.

Linked PRs

• gh-114756: Update FAQ section on removing the GIL #114957