Most Helpful Girl
I've thankfully never been in such a situation yet. Not in rl, at least.
In rl, people who I argue with (mostly my boyfriend, if anyone at all) tend to resort to just raising their voice or making ridiculous statements to shift the blame, versus making points relative to the issue.
How do I react to that? I usually just stay quiet for 20 seconds or something. Let the tension diffuse a bit, let him maybe think over how little sense he just made. Then ask him if he seriously thinks rehashing over whatever claim he made will actually solve the issue at hand, and if so, how. After asking why he's yelling- that I'm right next to him and can hear him just fine.