Post the full model & serial number off the mowers ID tag
Some of the members here have trade access to the "secret" sections of dealers web so can tell what engine was originally fitted to which mowers.
AFAIK only 3 stators for Kohlers and all will interchange as the mounting points remained the same
Have a look at this video from
Taryl fixes all
The meat starts at about 6 minutes in Note particularly the testing of the polarity of the magnets
From what you have written either the stator is damaged or you have got the magnets around the wrong way so only 1 pair are creating power