At least part of the problem wa the fact that the connection on the car side was broken, in such a way that the bottom portion would not connect properly. I figured that out, and connected it and everything but the windows work again.... Still can’t figure that out.

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1998 VW Cabrio
2001 Audi SomeRoad A/T (no air suspension)
2003 Audi DeadRoad M/T (no vroom, for later)
2002 Audi NoRoad A/T (nothing under the hood, being rebuilt)