The Korogumi are yakuza allied with the Hishaku. This encyclopedia’s underworld page named them in a sentence and moved on to Cafe Haru Haru. The fandom wiki lists them as an organization beside Kamunabi, Hishaku, and Sazanami. They are not the ten. They are the neighborhood the ten can walk through: errands, muscle, a Datenseki briefcase returned to Sojo’s courtyard.
Scale
Civilian sorcerers take small jobs. Hinao brokers yakuza and corporations at the cafe. The Korogumi are the named firm on that street. Enchanted Blades sit next to ordinary sorcery the way flame-gate sits next to a gang office. Recaps that say “Sojo’s men” without a firm lose the city’s actual map. See underworld, civilian sorcerers, Hishaku.