It's very hard to make someone else change his mind, even with the best arguments. See all the Russians believing they are freeing Ukraine from nazi, even when told the cold true facts it takes weeks of constant discussion to get them to actually understand it's all propaganda.

And that's something that is quite easily dismissible.

When I care enough about someone, first of all all I don't make a point to change their mind but think of having a discussion like a way to enrich both knowledge and point of views, at the end it's not the result but the journey that's interesting. How both people develop and adapt their reasoning to arguments.

Of course you got to be two willing people to make that happen, won't ever happen on Twitter for instance.

And if I'm dealing with someone who believe something completely and utterly stupid by all standards, like the earth is flat, and I need to change his mind. The best way is to plant a seed, listen to his reasoning, think of something that doesn't fit in his story but also can't be felt as aggressive. For instance, with flat earther, I would ask, looking interested what the edge of the earth look like then. If he can show me.