If you lose the game and choose just...one...more...turn, how does the AI behave?

If one of the AI players beats you and you choose just one more turn, does the AI still try to win via domination or does it totally give up and do random things allowing you to dominate easily?

I am just wondering what to do in case of a victory condition loss other than domination. Does the AI still try to dominate after winning with one of the other victory conditions?

Solution 1:

This is a very conditional answer, but if the AI beats you with a Time Victory, what happens is that the option to choose "just one more turn" is disabled. [Source 1, Source 2]

I haven't been able to find out what the AI does in the case of other victories though. There's a forum thread with the same question, but unfortunately it doesn't get very far:
How does the AI behave after somebody has won?