He would spend time with each of his wives every day, train with his children from time to time, and fulfill his responsibilities as Law Enforcer in the internal area of the guild.
It would be a few days before Artaud's situation was resolved. Even after his death was confirmed, the promotion exam in which the Senior Officers would try to replace him would have to take place before the exam for the Intermediate Officers who would compete for the position of Senior Officer.
It could take a few weeks for this entire process to take place, so Minos had been performing his duties as Law Enforcer while waiting for the situation to be resolved.