Well what you have to do, is remove the bulb, have someone apply the brake, and check for power and ground....if there is no ground, that's an easy fix(run a redundant ground).....
If there is no power.....you don't want to know the answer.......it get's it's power from the BCM, or Body Control Module....expensive....
Hope it's a bad socket......
Could not find a diagram for the Pursuit, so I used a 2006 Cobalt diagram....should be the same....