He’s going to dispute that law
KY Law. "“The Governor and all civil officers shall be liable to impeachment for any misdemeanors in office; but judgment in such cases shall not extend further than removal from office, and disqualification to hold any office of honor, trust or profit under this Commonwealth.”
He can run for another term. I suspect it would be a suicide mission to dispute the KY law as he only won by 5000 votes last time around. He will be voted out or impeached IMO.