I play solitaire against AI every day. First of all, I gotta point out that there's no such thing as "random shuffle." You can click on that icon a million times, but "random shuffle" is a total lie.
So, AI can lie.
As I play, I keep making the same mistakes because my memory is not so good, which is why I play. The Solitaire AI has an excellent memory, and "randomly" shuffles and deals the cards anticipating the type of mistakes I'm likely to make.
So, AI can be programmed (or can learn) to take advantage of your weaknesses.
I sometimes cheat at solitaire. The Solitaire AI knows this, anticipates it, and shuffles and deals the cards accordingly.
So, AI can be programmed (or can learn) to thwart your efforts to defeat it. Or it will at least challenge them, seemingly just for the fun of it.
When I "win" the game, it's blatantly obvious that the Solitaire AI let me win, as though it knows I'll leave and go play solitaire with some other AI if it doesn't give me the occasional "win."
So, AI is totally capable of gaslighting you.