Probably don't need to take the door cards off. GM door/tail wiring usually goes inside the flexible rubber boot between the door/bootlid and the frame. The wiring in there is unwrapped to provide greater flexibility, which has the downside of making it more vulnerable to damage too. You can undo the multiplug where it connects to the socket in the frame and pull the boot back to inspect, you'll be desperately unlucky if the problem's not obviously in one of 'em.
Once you've found the knackered one, then remove the one necessary door card to fix. You'll need to do this to buy enough length on the cables to fix the crushed/severed/burned ones.
On my GM car it was the tail door one that had gone and it took the lock / immobiliser ECU with it, as that objected to having the full load of the rear screen demist fed through it......
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