With LED lights, there must be some form of current-limiting somewhere. This can be built into the lamp assembly, or into whatever control module drives the assembly. On this or other forums, someone who knows more about modern car wiring can answer that.
If it is built into the lamp assembly, then any Ford dealer will have the wiring diagram for the car in his service area. With that, we will know how to draw up a wiring sketch for you.
Separate from that, my guess is that the connector is something proprietary to the automotive industry, and maybe proprietary to Ford. That isn't a problem, because at this low voltage and relatively low current it is easy to cut off the connector and extend the wires to whatever length you want.
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