was the float hight checked? you can check it still on the unit by putting a clear tube on the bottom of the float bowl drain nipple and open the drain screw with the hose next to the carb it should come up to the separation of the float bowl and carb body.
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Dose it overflow when the unit is off or only when it is running?
I under stand being busy so not a problem.
try jack up the front or rear of the unit to get the carb some what level