That engine has an thermostatic choke level located at the muffler. When it heats up it pulls the choke OPEN.
Remove the air filter cover. Look into the carb. Choke plate should be CLOSED with engine off and or cold.
1.Dump and flush out fuel tank.
2.Verify fuel flow AT carb.
3.CLEAN carb. As Bertsmobile1 said there's clean and then there's CLEAN. Think hospital clean here.
4.Install carb. Remove fan shroud. There is an air vane like arm that has a spring on it AT the carb. Spring and arm should pull the choke plate CLOSED engine off. Arm should move freely.
5.At muffler there is a thermostatic lever that contacts that arm. When muffler gets hot, lever and arm will move OPENING the choke. There are 2 line marks that the arm should be in between. You can GENTLY tweak the thermostatic arm to center it on the arm deal-e-o. Check youtube for videos on it. There's a bunch out there.
If you move the arm engine OFF, you should see the choke plate opening and closing. Verify this.....
Take an old spark plug. Gap to 0.25" or 6mm. That is a quarter of an inch. Check for spark. You must pull the rope WITH A PURPOSE. Magneto needs a min of 350rpm to fire. Don't pull it like my wife and expect it to start LOL LOL.
While the fan shroud is off, clean the cylinder cooling fins all the way around the cylinder. This is a YEARLY maintenance deal in your engine manual. Neglect this and you will have engine damage. These are air cooled and get to full temp in roughly 1-2 minutes. Keep the oil level exactly on the full mark.
Clean all the carbon and wipe all the carbon grit from the bore. Install head and fire it up.
Valve adjustment check wouldn't hurt either.
slomo