It's a start cap. Will go up in smoke if not removed. No end switch means you have an electronic device to remove it and it's not doint it's job. Guessing it's located the same place that the end switch would normally be.
I think you can buy replacement switches. If I couldn't fing a replacement switch, I would wire in a hard start capacitor used on an air conditioner compressor or refirgerator. It has a built in electronic device that removes the cap. Down side is you may have to wait a minute before you restart motor.
I wired a hard start cap on my 1/4 hp mixer motor.
If you can't find one locally, try ebay.
SPP5 Solid State Relay & Hard Start Capacitor for HS5 oem hard start kit Seller : electron-parts ( 954)
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