One of the carbs is apparently leaking, with its overflow tube blocked.
Fuel level rises with a leaky float valve and drains out the lowest place it can. If the bowl overflow is blocked that's either into the intake or back to the airbox, or both.
Hopefully your cleaning has fixed that, but if fuel is still dripping from the airbox drain then nope.
The drain should, I think, have a tube down to under the engine with a fishmouth end. It's to let any water that gets in dribble out. Without a tube, the opening is really small and the bit of unfiltered air that gets in isn't serious.
If it still dribbles fuel, fix the leaking carb. Make sure all the carb overflow drains are open. If you have drain tubes connected to the nipples, maybe those are blocked. Tubes are a good idea as dripping fuel on a hot engine is not excellent practice, but they can get plugged with dirt or (usually) with insect detritus. Check engine oil level and take a whiff of it - it may be diluted with gasoline or be contaminated by it and it should not smell of gasoline at all. At riding temp gasoline in the oil evaporates off, but the additives remain and should not be in engine oil.