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If the motor just buzzes, remove the pump from the motor and see if the motor will run without the pump connected. If so then remove the pump and check for debris inside. If it still doesn't run then remove the motor from the transmission and see if the motor will run when it's not connected to the transmission. If so then the transmission is locked up and you'd need a new transmission. If not, you either have a bad motor capacitor or the red wire going to the motor is loose where it plugs into the molex connected on the motor. Check the red wire and if you find nothing, the motor capacitor needs to be replaced.
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You would have to test the actual micro ferads with a micro ferad setting. There is nothing left so with the timer and motor replaced, either you have a loose wire coming from the capacitor or the capacitor is bad---those are the only options.
No, it's not your lid switch or the motor would never get power to hum. I have already told you the 2 options and there are no more.
ok good luck