The LLM is citing it's sources and I follow up on them. Your attempt at a gotcha is interesting in that I think it says more about your relationship with AI than mine.
This is the story I hear over and over again when an expert evaluates using AI for an introductory course inside their own field. The thing is full of mistakes, bad or wrong information, and unhelpful advises.
If a person writes a textbook, a tutorial, a blog post etc. which is that bad it won‘t be recommended by peers and a beginner will either not know it exists, or find see the bad reviews from peers. The beginner will then look for a different textbook, tutorial, blog post etc.
When self learning with AI, you don‘t get that. The best advice a peer can give you, is simply, do not use AI to learn stuff you don‘t already know.
