So Yazai, then?
I'm not how entry procedures work there, so I guess you might have to wait on a Med verdict before figuring out how to get in.
Also, there are 3 subgroups right now:
-Dungeon: Miyu and Takeyoshi
-Housekeeping- Rayo, Orion, and Sonia
-Gang-busting- Giovanni

The only one not taken is giant sewer rat extermination, and probably for good reason.