I am installing a backup camera into my car the license plate light is blinding the camera at night time making it useless. I can’t figure out the name of the electronic component i need. There are two inputs and one output. A is the reverse light volt. (just used for signal). B is the license plate light. C is the output of the circuit.Normally A is off (when moving forward) so only B is detected and there is an output from C. When voltage is detected on input A, the circuit should cut power to output C.
-Thanks

You’re overdesigning this thing. Forget about the Boolean algebra!
All you need is a 12 volt relay. Your backup light voltage (“A”) goes to one end of the coil. The other end of the coil goes to ground.
Cut the license plate light wire, and connect both ends to the “Normally Closed” contacts of the relay.