Who’s writing and directing the film?
Unfortunately, most film action outcomes are just nonsense where the writer, director or whoever thinks their storytelling is so great it doesn’t have to make any sense or be based on anything other than their storytelling notions.
Speaking of which, why would Batman and a TIE fighter coexist, and even if they did, why would they be doing battle?
Never mind. I don’t want to know.
In an arena combat simulation using some logic and physics, the terrain would matter a lot. If Batman can lure the TIE fighter into a tunnel or something, well, crashing in tight spaces seems to be a popular activity for TIE fighters in films.
But in the open, er, I guess I’ve avoided many recent Batman films so I don’t know what anti-aircraft abilities a Batmobile has been given, but generally I’d expect the TIE to be able to just stay out of the range a Batmobile can do anything and blast away.
It’d really be about the situation and who does what, and since I have no good idea what situation would lead to this duel, there’s even less way to know how it’d play out.