I am honestly and genuinely trying to help you out here. I used to struggle to accept when I was wrong about something because it made me feel stupid, but in reality, people actually respect you a lot more when you demonstrate that you can admit when you're wrong about things.

You don't need to concede the whole argument, just a simple "oh yeah, you're right, the first part was definitely wrong, but I stand by the second part" would be a solid step in the right direction.

Anyways, feel free to take my advice or not, I don't really care about the thing you're arguing about, I just saw someone who I thought I could maybe help avoid some of the problems I had in life.

All the best!