not sure on that particular motor, but on my kohler engine in an older dyt4000 craftsman I found tht there is a locking nut on the valve adjustment, a little allen key screw to lock the nut in place once the valves are adjusted..
Well they like to break off.. which is how I got this moer for 100$ after the previous owner replaced the coil, plugs, burned the strter out trying ot get it to start, the exhaust vlve nut was so loose the rocker arm wwas just swinging not touching the valve stem at all..
got the replacement, vlave, locking nut with locking allen screw, new vlalve stud from amzon for under 20 bucks, so I did both itake and exhaust.. worked for 5 years of daily use and then hppened agin... should get anther 5 years from it now.. lol