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For light vehicles they don't count the combined weight anyway. Each is taken on it's own, so you'd have to get the zuk with that weight on it's wheels.

https://www.nzta.govt.nz/vehicles/vehicle-types/vehicle-classes-and-standards/vehicle-dimensions-and-mass/

They snuck class 1 licenses up to 6T for a full license, but the bridge is not based on driver license class but road/structure class.