Unfortunately, modern cars will track you even if you block the plate. They all have cell connections nowadays for things like firmware updates and manufacturer tracking. You should assume that every single thing you do in your car is recorded and sent straight back to the manufacturer. Car companies have shifted their priorities towards selling data, not just cars.

If you go to a rally, don’t drive, and don’t take public transit because they all have cameras in the cabins. Ride a bike, walk, use a motorcycle, or basically anything besides a car or public transport.