You sound a lot like an angsty teen with undiagnosed autism. I went through similar scenarios when I was a teen. A few things to consider

If you’re actually right, you shouldn’t really need to explain yourself. The truth should be evident.

If you’re explaining why you’re right to someone, what do you gain by convincing them? And does that justify the effort to convince them? You may be denying them that same gain by not conceding they are right.

Emotions can alter the landscape and motives might not be pure. If you’ve continually berated someone and harangued them about how you’re right, they might just argue with you to deny you that validation.