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If they're affiliated with the state, I believe that it would make most sense to keep their uniforms as low-key as possible.
I guess, imagine just a generic suit, like people in the goverment always wear, and then maybe put something like just a really subtle hint on it wich announces that it's a state mage, instead of just any regulair person wearing a suit. Like, some sort of emblem, that they put on their suit with a pin, or something?