You've probably not infringed the copyright, only the court can decide though; if you were to be challenged by the rights holder.

I think there are lots of factors in your defence:

• you're not selling it , your use is an example for education
• I don't think you're reducing the market value for the original(s) in any way
• you've not included substantial verbaitim sections of the original works , but I think you have used more than just facts and ideas (not sure though).

But add in some more quotes, flesh it out, and then try to sell it . . . each step weakens the 'fair use' defence.

This the the problem for the LLM, it can be used for many things, and if it has no filter or limit, then eventually the collective derived works might add up to commercial, substantial reuse, and might include enough to have copied a substantial portion of the original. Very hard to determine I'd think. Each individual use might be fair, but did the LLM itself go too far at some point?

Copyright holder probably struggles to challenge the LLM on the basis of all the things infinite mokeys might use it for in future.