If the dealer does get it fixed , try to get as much info from them as to what they found and how they fixed it .
I have little confidence in most dealers ; however , there are some out there that are fantastic .
If I remember correctly the BCM C-5 / E-5 -45 Lin Bus CBC3 Signal wire dropped to about 9 vdc when shifted into reverse .
I'd start inside the tailgate on the tiny baby blue wire checking for voltage in run/ACC , then while running in reverse (2nd person required )
The plug for the camera is very accessible with the tailgates large panel removed .
I then would just work my way forward to the BCM until the discrepant connection / wire was found .
There's two connectors & harnesses inside the tailgate and the tailgate disconnect would check the main long harness going fwd to the BCM C-5 Socket # 45 .
Just let us know what the dealer finds , fixed or not . If not I'm certin we here can assist in your troubleshooting , so you can go show the dealer where the issue is
If they don't fix it of course.
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