[ she knows that he could leave, he only chooses not to because he's offering his patience to her. as long as she doesn't push it, and searching for an owner isn't as tiring as it should be especially if they don't find them.

it'd prove that it was a waste of her time, and that he was right. ]

You can check around your apartment.

[ that would be more familiar for her and give her an opportunity to ask anyone else that's close to her. there could be someone who is familiar enough to claim the piece of fabric, and if not, shadow knows he's not going out of his way to ask where he stays.

he's simply supervising her to make sure she doesn't get in trouble. ]

We can move to another building, a diner, then you can ask anyone if they know who it belongs to.

[ ... ] They sell pancakes, bacon and definitely eggs too.

[ he's kind of repeating what he's heard but it's fine. ]