He's going to need to make this quick, then. And yes, he's aware that JARVIS will probably water down the cops or hold them up, if he isn't fast enough getting back to the apartment, but still. There's no excuse for being sloppy, when in the real world, it might get him killed.

That in mind, he tucks the robber's loot into the holster where his batons would normally go for lack of anywhere else to put it and wanting his hands free, and stands up again. He pauses for only a moment following, feeling out where the nearest fire escape might be so he can get back to higher ground. When he finds it, he moves for it, climbing up on a nearby dumpster, its lids thankfully closed, jumps from there, catching the lowest rungs with his hands, using his momentum and weight to pull it down so he can climb. He goes straight up to the roof from there.

It doesn't take him long to get back to the apartment, though he's winded again when he drops back down onto the balcony, free running a handful of blocks just as strenuous as chasing down a purse-snatcher, if not more so. This time, though, he doesn't do anything to try and buy himself time to catch his breath -- the really is nothing he can do. This time, he just forces through it as he moves back into the apartment and unloads the woman's things onto the nearest table. He's back out the broken window almost as quick as he came and climbs back up to the roof.

Now, now he can catch his breath. He doubts the cops will check the roof for a few more minutes, if at all.