I chatted with ChatGPT and proved some concept and ChatGPT agreed with me, but after a while it continues insisting on wrong concept. Can ChatGPT learn something from it's own answers?

I chatted with ChatGPT and proved some concept and ChatGPT agreed with me, but after a while it continues insisting on wrong concept. Can ChatGPT learn something from it’s own answers?

No.

ChatGPT is a generative AI that just predicts sequences of text based on prior text.

Think of ChatGPT as a fancy auto-completion engine.