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Hello I will help,
Can you see where the wire goes? Either end? Is there enough to splice back together even if you extend it a little?
Maybe post a picture?
There are two black wires, one goes to the door ajar switch and is ground for the switch and the other is the ground for the driver's door module (computer) You can run a wire for either of those and connect it to a solid clean metal part of the body inside.
Let me know how I can help