You can be right and still choose not to spend your evening proving it.

Being right and winning the argument are separate goods, and the second one often costs an evening to obtain. Proof has to be accepted by the other person to work, and people rarely accept it while being corrected. You already know the thing you know. Deciding the conversation is not worth the hours is not a retreat.

When the chance to settle it comes up this week, try letting it pass once. Say something neutral and change direction. Check how much you still care tomorrow, which is usually much less than it feels like tonight.