Curious of the location of “the rear exterior light”. I looked at a few pics of 2009 3400RLs and the only lights I see on the rear are running lights and turn signal/stop lights. The scare lights are near the front nose cap.
The lights on the tip of the rear cap are running lights fed by the tow vehicle's running lights. Rather than climbing up a ladder to check the bulk, remove the bulb from the side running lights and match it. They all use the same bulb.