You cannot do it with a custom GPT because that would violate OpenAI’s privacy terms. But, couldn’t you do it in your own private RAG system so long as you disclosed this in your Privacy Policy?
And, on that thought, OpenAI insists that we provide our Privacy Policy when we publish our GPT. So, isn’t it actually permissible in a GPT so long as it is disclosed in that GPT’s privacy policy that you will store and use any query information received for future analytics and training?