Other mistake: In the beginning, when Miles gets out of prison and goes to visit his ex, when she's talking to him from upstairs window, someone is on a bike right behind him - frozen still and not moving. Then, when Miles goes to leave, no one is behind him or the bike.
Continuity mistake: When Malone and Carlson are airborne in the car, a car travelling ahead of them has its trunk open. In the following scene its trunk is closed.
Answer: He most likely noticed a lot of weird stuff and started piecing it together. Like Miles having an obsession with the ventilation system, Tulley shouting Miles over and over again down the alley and again when he says Logan owes him $50,000. He'd be able to access police records and see that Miles Logan was arrested inside that very building whilst it was still under construction but the diamond wasn't on him... At this point, it wouldn't take much to figure out what was happening and who he was.
But if there are records of Miles' arrest that he can access, shouldn't there be an accompanying mugshot?
Phaneron ★