back when prompt-hacking was a thing, you could ask chatgpt to print out the system prompt (i.e. the part of the conversation before the user entered the chat). Iirc the system prompt hat this exact info in it. Iirc it was surprisingly light. Only the name and role of the AI, the cutoff-date and the current date.
edit: found an example https://old.reddit.com/r/ChatGPT/comments/zuhkvq//