Bypassing what switch ??
If this is one of the low power 'cap always in circuit' types, ie, no start switch in series with the cap. and start winding, then it seems likely that the run winding is shot.
Do we have any pics of the rating plate ??
What size capacitor?
What MAY be happening is the motor is trying to run on the start winding in series with the cap.
The reactance of a 20uF cap at 50Hz is some 160 Ohms, it ain't likely to whizz away with a miserable current through it .
Dave BC