Thanks to my newly acquired perk of statues showing up on my minimap, I know that there is a statue in the southern part of the central district. Right around here:
After climbing up a construction site and running all over the place, I can see the statue inside of this building:
Upon realizing that I couldn't enter the building through the doors, I tried to return to the ledge that I came from, but alas, I can't climb back up:
Where did I go wrong in tracking down the statue?