Have you ever told the AI your answer? I bet if you did it would train on it and know it going forward.
Nah. And I have an enterprise plan, so I'm /relatively/ confident that they aren't going to do that.
With my personal little test problem, that never made a difference.
However current frontier models got good enough at websearch and thinking through the problem, that they can finally piece together the answer from my own public writing (eg on stackoverflow). And recently someone wrote up an answer to the problem and put it on Arxiv.