Starter stays engaged ONLY in park???

Righty Tighty said
Agreed, but sometimes small victories are what we need to keep that momentum.

So, I haven't looked at the wash fluid tank yet, but the wire coming from the connector in the engine bay is the one being used for the starter. Someone switched cavities on the cabin side and routed the starter wire to the washer cavity, then connected the washer wire to the relay. I think that's how they bypassed the interlock.

Did you correct the A1 (battery) wire connections?

Note: Because the same color is sometimes used for different circuits, and sometimes colors change within a circuit, its often helpful to call the circuit out by name.