Someone can feel free to correct me if I'm wrong, but my understanding is that the LLM takes one input and produces one output. That one input contains some pri

Someone can feel free to correct me if I'm wrong, but my understanding is that the LLM takes one input and produces one output. That one input contains some primer made by the service's makers, plus whatever context, plus the user's prompt. The web page contents are just part of that one big input, and the LLM isn't perfect at distinguishing the parts of the input from each other - it's all just one big prompt.