Yitay, years ago, in Yeshiva, I would get agitated about the fact that many discussions would end with, “Oh, fine, have it your way.” It bothered me why we couldn’t just argue out the merits to each side. After pondering it for some time I came to one conclusion: keep in mind who you are talking to.
By now, to most people, who actually can’t handle a normal argument I just nod when they say whatever ridicules statement, since I know that they will only get angry at my disagreement, and I will be stuck there going around the same point over and over. But with people who know how to get convinced (a great art) I still can discuss things.
In short, don’t enter an argument if you can’t leave it.