Would an ‘02 4x4 Edge have the spare hot green wire for wiring a third brake light on a camper shell?

[deezkits]

Having trouble finding this wire that might come from the harness near the back around the driver’s side taillight. I have a camper top that needs its brake light wired up and I’m trying to keep my amateur wiring as clean as possible. Supposedly that wire comes directly from the brake switch, before it goes to the logic box thingy?