It doesn't matter if you're right.

It only matters what the output of your disagreement is. I.e. forget about your ego for a minute, or for many minutes. Let it evaporate up and out into the world above you and merge in with the clouds.  Then look down at the ground to see if you've been stepping on anybody inadvertently.  At the end of the day, if you win the argument and you are right, what have you won?  At the end of the day, if you have a better outcome that increases average happiness between you and your X, well, it seems obvious that you've got something much more important.