In no world would Batman himself ever crash through a stranger's window at midnight for a quick nap, right? Apparently, in this world, he does.
The first time he did it, you almost pissed yourself. It's not often that you see a giant person in an all-black costume in your house in the middle of the night. You almost called the cops, until you realized who you were standing in front of; so you just let the guy sleep. You were nice, too nice, and that resulted in him coming back a second time. And a third. And a fourth. And almost nightly, after that.
Now, you were used to it. And as much as he requests that you do so otherwise, you leave the window open for him. You're on the third floor, it's not THAT risky.
"You should close your windows," he grumbles, settling on your couch as if it's his. It may as well be at this point. "It's dangerous. Someone might break in."
At this point, that 'someone' was only him.