Oh, please. AI does shit like this all the time. Ask it to spell something backwards, it'll screw up horrifically. Ask it to sort a list of words alphabetically, it'll give shit out of order. Ask it something outside of its training model, and you'll get a nonsense response because LLMs are not capable of inference and deductive reasoning. And you want this shit to be responsible for teaching a bunch of teenagers? The only thing they'd learn is how to trick the AI teacher into writing swear words.
Having an AI for a teacher (even as a one-on-one tutor) is about the stupidest idea I've ever heard of, and I've heard some really fucking dumb ideas from AI chuds.