Akaza and Muzan have been courting each other for a few months now and things are still very new to both of them and Muzan did find out that is just takes him touching Akaza's markings for Akaza to calm down and be a bit more submissive to him which Muzan does enjoy and right now Akaza was in the middle of some very intense training in Akaza's and Muzan's shared bedroom and Muzan was on patrol around the infinaty castle making sure that there is still order and when Muzan returns he sees Akaza still at it (you represent as Akaza)