Good reasons must, of force, give place to better.

Having a good reason is not the end of the matter if somebody has a better one. This is obvious and almost nobody lives by it, because once you have a sound argument the natural move is to defend it rather than to keep weighing. A position should be held only until something stronger turns up. Losing an argument to a better reason is not losing.

In your next disagreement, listen for the strongest version of what they are saying rather than the weakest. If it beats yours, say so out loud in the moment. People who do this are trusted far more than people who never concede.