It dosn't have to be similar to a current outfit, but it should fit the setting. That is, no levitating shoulder pads or full plate armor or cyborg bits or anything. It should definitely be recognizable though, also, decently practical.
Yes James is in Uniform, but I have a feeling Foxhound division will start modifying their uniforms before long. I'd lie his new costume to have the same general feel of the uniform, but still be distinctive.
The vagueness is intentional here.