I have a flat 4-pole connector (yellow, brown, green, white wires) on my boat trailer and I know what each wire does.
I purchased a set of LED "PIPE-LIGHTS" to install on the trailer and there are 3-wires coming off each light (RED, BLACK and WHITE)
I assume the WHITE wire is ground, but which one is "TURN/STOP" and which one is "RUN"
Thanks in advance

I can't tell you which is which but if they are standard 12volt you can jumper them to the battery and see.
One common, one running and one brake / turning. Obviously the brake / turning lead will be brighter than the running light.