One way to make those interactions less annoying is to, perhaps temporarily, put aside your goal of getting them to agree with you, and choose another more achievable goal. Here are a few you could try:

Have a cordial interaction with someone who sees things differently

Learn from this person about one of the things they are an expert on

Understand more deeply the pseudo-logic of their mindset and where it comes from

All of those goals are realistically achievable which should make them less frustrating than trying to win. And as a side benefit if you succeed at any of the above, you should be in a better position to bring them around should you go back to trying to do that.