I will admit this is almost entirely gibberish to me but I don't really have to understand. What's important here is that you had any process at all by which you determined which answer was correct before writing an answer. The LLM cannot do any version that.

You find a way to answer a question and then provide the answer you arrive at, it never saw the prompt as a question or its own text as an answer in the first place.

An LLM is only ever guessing which word probably comes next in a sequence. When the sequence was the prompt it gave you, it determined that Homer was the most likely word to say. And then it ran again. When the sequence was your prompt plus the word Homer, it determined that Simpson was the next most likely word to say. And then it ran again. When the sequence was your prompt plus Homer plus Simpson, it determined that the next most likely word in the sequence was nothing at all. That triggered it to stop running again.

It did not assign any sort of meaning or significance to the words before it began answering, did not have complete idea in mind before it began answering. It had no intent to continue past the word Homer when writing the word Homer because it only works one word at a time. Chat GPT is a very well-made version of hitting the predictive text suggestions on your phone over and over. You have ideas. It guesses words.