Keyless Entry - wiring door actuators to Karr

Keyless Entry - Need help connecting 5 new door actuators to existing alarm.

2007 Jeep Wrangler Unlimited 4-door without power door locks
-Existing Karr Security High Performance Series 3
-New DEI 451M relay
-New 5 door actuators

Connections from 451M relay
1)     Purple/Black wire to 12V power
2)     Green/Black wire to actuator green wire
3)     Blue/Black wire to actuator blue wire
4)     White/Black to ground
5)     Brown/Black to ground

That leaves a 3 wire plug from 451M relay to connect to alarm. Alarm does not have anywhere to plug the 3 wire plug into. Colors from 3 wire plug are Blue, Green and Red.

What color wires do the 3 wire plug go to using the Karr Security Alarm? I believe the red goes to any 12V power, but not sure about the Blue and Green wires.

Each Jeep door already has a purple wire and a Black/White wire going inside. Brown wire coming from alarm goes to Purple Jeep wire in door. Black/White Jeep door wire goes into jeep harness.

Thanks so much.

Then red goes to constant 12v. Green is negative lock need to go to lock output from alarm. Blue is negative unlock needs to go to unlock output of alarm