more likely a fuel hose problem.. could be a clogged filter, a pinched hose even a dirty carburetor .. it's not a tight clog it just slows the fuel enough to starve the engine then over time it drips enough fuel into the carb to allow start and run for a short while before clogging again
It sounds as though the mixture is way too rich. Is the choke stuck on or malfunctioning? With is dry spark plug but fuel in the carburetor, try turning the fuel valve and choke off and then with ignition on and holding the throttle at least 1/2 open, kick the engine over several times. If it starts under these conditions then perhaps the float(s) in the float bowel have leaked and are full of gasoline causing the fuel to flow continuously into the throat of the carb then into the engine. It probably is some sort of carb mixture setting, choke or needle valve/float problem.
still think you have a plugged carb passage somewhere maybe an idle air passage, you used carb cleaner and compressed air to blow this carb's jets out?