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So unfortunately the only thing that can cause your issue would be the motor control board mounted below the tub. This board is the part that actually tells the washer to shut down and when the spin cycle has completed. If it's sticking at 1 minute you can try to unplug the washer for 24 hours to see if the electronics will reset and if that doesn't work then order and replace the motor control board.
The number you have listed isn't correct for Whirlpool on their front load washers however and you will need the correct model number to order the correct part. The model number is ***** on a sticker just inside the door way. The MCU usually costs about $200-250 I will warn you.
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