Time to pull the carb off and clean the float needle and seat.
Fit it without the float bowl attached and hold the float up with your fingers when you crank the engine, checking that no fuel drips out.
Remove both spark plugs, place some rag over the holes and get some one to crank the engine to remove excess fuel in the cylinders.
Keep the plugs well out of the way or risk singed eye brows.
Change the oil it will be contaminated with fuel.
I like to fit an inline fuel tap like Victa did as standard to prevent a stuck needle doing the same again.