The actual Turing Test is a party game like Werewolf. If the humans are skilled then they should be able to authenticate by picking a subject that the AI can’t compete on. This would be a very difficult game to build a computer opponent for and nobody really tries.
Yes, but people underestimate what that involves. Serious players would study previous games for weaknesses, looking for subject areas that include unpublished knowledge that isn’t in the training set.
Casual talk about “passing the Turing Test” sets a much lower bar.