I can only speak from my experience with my 300E, but it seems the washers are slaved to the wipers. That is to say if you disconnect the wiper motor plugs at the headlights, this also kills the pump motor for the washers. Leave the pump in place, it makes a good spare if the main lets go.

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Jeff Lawrence
1989 300e
2000 Dodge Grand Caravan SE
No matter what you fix, there will always be something else to fix..
"Warranty" is just another way of postponing the inevitable.