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I don't think this is AI's fault. This is Pearson's publishing incorrect information and the only way to really know they are a bunch of lying assholes is to have an account and try to unsubscribe from it.

AI didn't make it up, Pearson's did.

It's obvious that the Google Search AI Mode encourages the model to give an answer without spending unnecessary cycles investigating deeply.

They also heavily encourage keeping the context short. For example, it will remove the option to start a new turn after a small number of turns, depending on the topic.

It definitely makes things up all the time, but it gets it right surprisingly often. I really like it.