Dorothy leads them both (Kyou follows, silent) up a ladder out of the mess, through a side corridor, up another ladder.
She's brisk and efficient as she walks them through the upper levels. Solar panels, automated farms and fishing equipment, storage, lifeboats, observation deck. Some doors she passes without acknowledging, even if they're clearly important. The view from all the windows, and from the outdoor areas, is clear blue water stretching for miles.
Below, down some more ladders (there are a lot of ladders in this place), is the mess, more storage, living quarters – she assigns Lev a small and not particularly exciting but not uncomfortable room, and keys the lock to his thumbprint.