Briggs & Stratton make a series of engine specifically for go-cart/RV use. I suspect yours is a standard type. One of the differences is different carburettor calbration - slightly richer than standard.
Agricultural/industrial applications do not have any requirement for rapid pck-up, so this fault would never occur during standard use.
You have 2 options - get a B&S approved engine for your go-cart, or install a hydraulic damper on the throttle control to prevent the throttle snapping wide open and 'leaning out' the engine., OR (assuming there is no mixture adjustment possible), open out the main jet slightly.
phil_saunders@bigfoot.com
Phil Saunders, June 2008