Just to ward off all evil spirits, I reinstalled all 3 original factory incandescent bulbs in the 3rd brake light housing.
I'll see how it goes for a few days. If I get no "key fob not detected" error, I'll consider the console antenna functional.
I wish I knew where in the console it was exactly... And I wish there were a way to test its functionality that I could easily do.
Next, after all is considered well, I'll install the Diode Dynamics LED that
@Neurobit recommend and has verified works without issue.
Man, I hope I don't get a water leak at the 3rd brake light housing from taking it in and out so many times! That would just be my luck with this lemon truck.
Last count, the dealer had $15,000 in parts installed to correct factory defects before the new rear differential was installed. I don't know what the tally is now.
At least FCA gave me an extended warranty on the truck.