kill taillight when reverse light is on

Hey hows it goin all....

Im putting a set of custom 59 Cadillac LED Taillights in my truck. They have the typical 3 wires coming out of the back per lightsper each light. Ground, and the 2 12V connections for running lights & when brakes are applies.. Im runng 2 lights on each side. On top of that, Im running a pair of White HALO's im putting inside the light to use as Reverse Lights. 1 Per side. Does anyone know how I can hook up a couple relays, so basically, when I put the truck into Reverse, the lights that have the halos in them, lose all power & only the halos shine thru? Even when the brake light or turn signals are apprlied? And when I come out of reverse, all power is fully restored.  Thanks?

Thats what they look like if anyones curious.

That will be simple, but I have a question for you.  Do the lights pull double duty, meaning is it a blinker and a taillight?  If it is just a taillight we can do it with only one relay.  If they are blinkers you will have to use one relay per side.

The only ground wire that you will be dealing with will be the right most connection on the relay.  This is the ground wire for the coil of the relay.  The wire on the left of the relay is a positive wire that comes from the reverse light wire.  This is the wire that trips the relay to break the connection of the taillight wire.        The wire coming out of the bottom of the lamp (in the picture) is the ground of the lamp.  The wire that goes out of the top of the relay is the tail/brake/blinker wire.

https://www.the12volt.com/relays/relays.asp

Okay, I havnt checked yet, but what if theres 2 wires for the blinker tail etc...

And you said 1 relay per side, correct?

lol, no dont think I ever have.

But I think the brake lights are on the same circuit as the the signal ligt? Im not 100% sure tho yet. I will try the 1 Relay set up tho, I hope it all works out, once again I appeciate the help.

Okay so heres how it actually works... The Halo Lights have a small inverter box. With just power & ground & the 2 Halo lights plug into the inverter box. Then the taillights have 3 wires.. Ground and 2 Positives, 1 is the parking lamp, the other is signal & brake.. How do I use the relays in this case, do I only use 1 relay for both sides, or 1 on each side.. If the wiring is different now can you please show me how?

I guess, I really need the 1 relay to activate the inverter for the halos, and maybe one on the other side just to shut the lights off when put in reverse, if you can let me know, thanks....