If being right makes you unbearable, you’ve lost a bigger argument.

Correctness is only one of the things happening in a disagreement. The other is what people learn about being close to you, and that lesson outlasts the topic by years. You can win the point so thoroughly that nobody brings you a real question again, which is a strange kind of victory.

When you know you are right, give some thought to how you want the other person to feel afterwards. Let them keep their footing. Say the true thing once, plainly, then stop talking, which is usually what decides whether being right was worth anything.