Turn off Rear plate light when in reverse

I recently had a rear view camera installed on new F150.  The reverse camera works great during the day, but at night the license plate light blows out the night vision and and all I see is the light.  I am hoping there would be an easy way to turn off the license plate light when ever the vehicle is placed in reverse.  Any help would be appreciated

cut wire to lic plate light and wire as follows: Bosch relay 86 reverse wire 85 ground 87 open 87a lic plate power side 30 lic plate light side Now whenever you go into reverse the relay interrupts the power to the plate light When you are nnot in reverse it works like normal

thanks for the assistance