Your ego cares about looking right. You should care about getting it right.

Two different goals get tangled in most arguments, and only one of them improves anything. Looking right is about the audience and the moment. Getting it right is about the answer, and it often requires the awkward step of changing your mind out loud. You can usually tell which one you are chasing by whether you want to be understood or to win.

In the next disagreement that matters, say what would change your mind before you say why you are right. If they produce it, concede plainly and move on.