> even after I brought all the logic flaws and said that this is plain wrong
Once you've started to argue with an LLM you're already barking up the wrong tree. Maybe you're right, maybe not, but there's no point in arguing it out with an LLM.
Yes, and there's a substantial chance they'll apologize to you anyway even when they were right. There's no reason to expect them to be more likely to apologize when they're actually right vs actually wrong- their agreeableness is really orthogonal to their correctness.
Yes, they over-apologize. But my main reason for using LLMs is seeking out things that I missed myself or my own argumentation was not good. Sometimes they are really good at bringing new perspectives. Whether they are correct or incorrect is not the point - are they giving argument or perspective that is worth inspecting more with my own brains?
Once you've started to argue with an LLM you're already barking up the wrong tree. Maybe you're right, maybe not, but there's no point in arguing it out with an LLM.