If you are right, (not KNOW or FEEL right), then you could apologise just to quell any bad vibes that arise from the argument. But if your ‘right’ causes someone to be upset, that’s on them, nor you. They needed to hear it and maybe needed to be upset at that time! If you are right, be humble about it.

Hi Kevin Goodman
so true,
Thank you so much I really appreciate
your answer.