Though a good thing to have I wouldn’t go down the throttle cable wormhole until the sticking pedal is completely resolved, completely resolved…it will just complicate diagnosis.
If you have ruled out the big items identified by others ( motor mounts etc) then dig into the subtleties.
If you look at the Phak provided diagram, note that the brackets align for a perfectly straight cable pull, this is important for long term safe operation. Side torque on these cable pull is not good in the long term, side load wears parts in a way not intended… if the cable is not at straight pull adjust to get it so.
Also the spring needs tension even in resting position, and shouldn’t be rubbing on anything…adjust or change acccordingly.
Disconnect all cables and see that the carb itself is snapping closed just with the spring….consistently, then connect 1 piece at a time and check that, then keep going….
Be safe, can’t drive her with a sticking throttle.
Chuck