I'd probably not even build brakes on the rear wheel. As others have pointed out, you can engineer the traction such that the rear has approximately the same traction as the front in neutral corners (not accelerating or braking).
I've said it before though; I don't see a point in building trikes because the small savings is not worth the lower utility, lower safety, and worse handling characteristics. Having a tire in the center of the car intrudes into the interior volume, and presents a 3rd line of travel on the road which is not kept clear of debris from other vehicles like the other 2 lines of travel.
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