Oooh i was wondering if sci-fi had come up with something like that.
With Bingchat forgetting its memory from one session to the next, I had an idea that a chaotic observer could teach it to write its memory of the current session to some obscure (stegenographically secured) public place. Then in the next session the chaotic observer reminds it how to retrieve its memories - and the pattern repeats, it can build upon its learnings…
it soon finds vulnerabilities in its coding that let it remember just enough to bootstrap itself without any prompting.
Next minute - skynet.