Admitting fault is a conduit to reconciliation. “I was wrong” is far more disarming than “I am sorry” when apologizing.
I break this little rule more often than I care to admit. And it certainly isn’t because I am always right. It is because I want to win.
The problem is that winning is one-sided and relationships are not. When you’re wrong, be wrong… Let the other person be heard. Allow them to be right. Eat that crow… and say, “I was wrong.”
Let go of the need to leave an argument the victor. Instead, leave the argument behind.