They don't know
'If I get there in five minutes it looks like I'll still have time. But.. If I stayed there and disguised myself I'd be caught by them. They wouldn't be fooled so easily, especially if Eijiro had gotten here. Surely he'll know right away which is me and which is the worker in the mine.'
There was no time to think much, now Katsuki had to find a way quickly. In a few more minutes maybe Eijiro will reach the mansion.
Katsuki then found a brilliant idea in his mind, a smile on the man's beautiful face.
Katsuki then went up to the ceiling of the room he was in.
Each room of course has a hole to go into the ceiling to fix the light wires and fix things in the ceiling.
With careful movements Katsuki then climbed up to the ceiling of the room and entered the channel in the ceiling of the room.
As is often the case in homes in general. There is a ceiling that connects to the ceilings of other rooms in the house.