I just looked, and I didn't do that type of install. I bought a wire tap kit (look it up on Google). It came with the wire kit to tap directly into the back of the mirror. Just unplug it from the back of the mirror and find a hot wire. Then find a ground wire (light won't come on). Red to hot wire, black to ground. Easy peezy.
Just be real careful with the tap kit ends, they are very brittle. I broke mine and just tapped right into the wire and tapped it up. Shouldn't ever be moisture up there and the amperage is super low.
The tap kit comes with full direction which makes it a 1 on 10 scale installation.
Good Luck!!!