I don’t know who originally asked this question but I had a chance to ask it recently. Too frequently we get too invested on having the other person concede that we are right. They are invested in either having you concede that they are right or, at least, that they aren’t wrong. There is no winner in this situation. Both sides can’t win because it becomes either one wins or the other. So typically, neither one wins and both are miserable.
To be happy, doesn’t necessarily mean that you have to admit to being wrong (especially if you don’t think you are). It doesn’t mean that you have to admit that the other person was more in the right than you. To be happy, you can simply agree that there are different points of view and this situation is best served to remain in the past.