The moment Kyle left the building, he knew he was being followed.
Well, that was within his calculations though he had half expected Randall to stop him at the door itself. Luckily, he didn't and Kyle could leave before the chase began. It made his escape far easier to pull off.
Kyle walked normally, not showing any indication that he knew he was being followed. As he turned the corner of the building, he grabbed the rope that was already there and scaled up the wall quickly, blending in the shadows.
He was literally just sitting vertically on the wall, using the rope as help to keep him straight. He watched in silence as some of Randall's men walked by within seconds of him hiding. They started shouting in panic, going in several different directions.
There was one that looked up, and Kyle leaned back further even though he knew that there was no way he could be seen. It was just too dark.