When GPT mentions ice-cream, it does so because it was in the corpus. When it occurred in the corpus, it was as a reference to actual ice-cream. So GPT has just as much intentionality as you do.

You might claim that you've eaten ice-cream, and that that makes a difference. But if we assume that your senses aren't lying about what your senses do, then what they do is produce information - indications of difference without any indication of what it's a difference of. That puts you in the same epistemic position GPT is in. GPT knows just as much about ice-cream as you do.