I just tried to take some pics with the weather stripping pulled out, but the black wire doesn't look like anything in the pics. I took a plastic "spudger" and removed all of the sand that was completely blocking the area between the weather stripping and the body (see arrow), then pushed the wire into that channel, fed it under the plastic piece at the bottom where it goes under the hood, and ran it under the weather stripping for the rain channel on the roof, and up the front legs of my Baja rack. I think it is a 14ga wire and fit fine.
I wanted to do it this way to avoid having to pull apart a bunch of interior trim, because I am lazy, with the side benefit of keeping the wire runs short to be able to run smaller wire.