You didn’t take the choke off mate that’s what fucks up the machine you should only run the machine on choke for roughly 2 or 3 seconds and let it warm up on low revs with choke off
Easy fix, strip engine, check rings & replace if necessary, 9-10 it’s smoking simply because the cylinder has glazed(left running at idle causes this) simply hone the complete cylinder top to bottom, check valves for wear, clean intake & exhaust bores, re-lap the valves and that little Honda engine will work great for another god knows how long, usually about 1hr Labour 👍🏻