[KevinH1990]

My connector arrived yesterday courtesy of the nice folks at SpecializedGerman.

Particlewave and Oldskool's guidance was very helpful. I just cut off the connector, matched the wire colors, and used solder and shrink tubes to connect everything. I pulled the fuse (on my car it as in position C3) for the interior lights before cutting wires. Here's a picture of the light assembly showing the connector and wires:



Here's the connector and wiring in the car. I cut off the brown connector:



It's probably hard to tell due to the lighting, but the updated light and the original connector in the car have black/red, brown/yellow and brown wires. They are in different orders, but as Particlewave noted, just match the colors and it will work.

Here's the result with the "ambient lighting" LED switched on:



I'll experiment a little with switching it on and off. I doubt that it draws enough current to have a major effect on the battery. If anyone else runs into a problem with a broken "dome" light I recommend this upgrade.

Thanks to all who provided comments.