[Tcoat]

Not answering truthfully is fraud and is a criminal offense in most jurisdictions.
The warranty language is very clear that race and track use damage are not covered no matter how much they advertise the car as a track vehicle.
That said if it is warranty work it is going to depend on what broke and how. Money shift and blow your engine, burn up your clutch and brakes through heavy use or slide it into the grass and bust up some wheel bearings and that should be on you and at your own risk and expense. Fuel pump goes or something fails that wasn't related to track use then that is on them.
Warranty work is intended to repair issues with the manufacture and materials of the car not as a track maintenance program. Contrary to popular belief warranty work is not free. Every person buying a new car is paying for that work even if indirectly. I do not want to pay more for cars because people think they are entitled to having their screw ups and abuse of the car beyond the design specs paid for for them.

Oh, and I know that all the great DIY mechanics here will disagree but the techs at the dealerships are not stupid. They will know if something is broken by pushing it too hard.