Is it ok to tell my friend that I'm going to refuse to watch a show that we already had an argument about?
Are you afraid it'll cause another argument?
I really just don't want to watch the show with him since it always leads to arguments.
Just let him know that you're not interested in watching it with him, especially since tempers between you two are rising. I am sure he will understand.
If it doesn't cause another argument, I have no problem watching it.
If you tell him that the arguments are bothering you, I'm sure he would be willing to try to be more calm when watching the show. That way you two can watch the show and not fight. If that's not possible though, it's completely fine to refuse to watch the show with him.