another little lore tidbit: the central kingdoms military is called the "capitol guard," and the m-34th is just one of the probably hundreds of military regiments within it. they all have the same general look/structure to their uniforms (including the color), but only the emblem on the hats and badge thing changes

the m-34th is supposed to be, for the most part, out of the public knowledge, or at least blended into to other capitol guard officers. so youd see a lot of soldiers walking around the capitol but unless youre close enough to see the emblem you dont actually know what regiment theyre from (and 99% of the public doesnt know what any of the emblems even mean, so unless youre a witch you wouldnt be able to pick out an m-34th person until theyre close enough)

the idea is that since there's a lot of magic-erasure in society and witches just blend in, these guys are supposed to as well. so youd see an officer in a white uniform visiting some local business somewhere, and youd think "Oh they're getting lunch." and they MIGHT be, but also it could be one of those witch check-ups kind of thing.

also good for doing missions since theres capitol guard outposts in a lot of cities and towns, so if they needed to dispatch an m-34th officer specially to somewhere outside the central kingdom it wouldnt necessarily raise a lot of eyebrows from the locals or hint at some kind of magic-going-on's in any way