When you are in an argument, understand this: as long as the two sides stand firm in their respective positions, no progress is possible.
If you just keep repeating your view, even with different words and from a different perspective, even if in time that view gets substantiated by additional facts and events, even when you get to the point in which you raise the ante certain it’s going to be the final move, most likely nothing is going to happen. Except, the other part is probably going to be even more convinced you are wrong.
Get into every argument open enough to be able to say “you are right”. Accept that the person in front of you is not idiot, delusional and mean. At the very least, try to ask questions to understand what they care about, what’s their sets of values, how is it so that they see the world so differently from you.
And then, try to build on that. Find common ground, things both of you find important, see their arguments as an opportunity for you to learn something, thank them for raising your awareness on something you were totally blind to.
Should that really not be possible, change the narrative. Run from the argument, reach for a topic that is not so directly in contrast with the other’s point of view, focus on explaining what you want to achieve.
Staying in the argument would just be a waste of time.