Everyone should know that, very often, they are just wrong. And that’s ok. We all are.
The more ready you are to really accept that you could be wrong about anything, and admit when you are wrong about something, the better you will make your own life, as well as the lives of those around you.
And not only will you make everyone's lives better - seemingly ironically, by simply accepting the fact that you're often wrong, you actually make it more likely that you'll be right.
That's the part that I think people especially need to understand, since a refusal to admit that you're wrong is generally rooted in an ego-driven need to be right, and refusing to admit that you're wrong guarantees that right is the one thing that you won't be. You'll just keep clinging to the same wrong idea and keep failing to fulfill that need to be right.
If, on the other hand, you just freely admit that you're wrong, then you're instantly free to move on to another, and better, position, making it that much more likely that you'll actually be right. And if you don't get it that time, that's fine - just freely admit that you're wrong again and move on again. Keep doing that and sooner or later you actually will be right, instead of just pretending to be.
So you'll not only make everyone's lives more pleasant - you'll actually better serve your desire to be right. What more could you want?
If you're swayed to their side, then bullied for it, ask them why do they even bother arguing then and why not just go fight random strangers? Then tell them to have some self respect and act like they've been here before. Say "for fucks sake" under your breath but still in earshot, shaking your head as you walk away.
Sorry, but the solution to being correct is not being wrong. You are just not wrong, and that makes me correct. And that makes you correct. Therefore we cannot be wrong.