West strategy to borrowing a place to sleep is to stay out of the way as much as possible. Since he is usually quiet, anyway, this means that he's left the bathroom and the spare room in the same condition they were in before he used them, and slipped out to go find breakfast and explore a bit, shortly before dawn. So, he gets a pre-dawn introduction to this particular neighborhood, and found this interesting enough that he's out until just before noon.

He makes his way back to the apartment, and knocks instead of letting himself back in.