I also tried two hallucinations that I've seen in the latest Gemini and Claude. The first one is the famous "how many r in strawberry" and another one is asking about king sacrifice in chess where most LLMs tell you it's a very powerful move and tell you how to do it (obviously a nonsense since the point of the game is to protect the king).

Kagi actually got those two correct, explaining how losing your king means losing your chess game, which is quite impressive.