Yes, you have an internal liquid fuel leak. As the liquid expands when the engine is shut down, it is drooling out of somewhere and runs down the venturis until it hits an opening to the atmosphere. That would be the throttle shaft area. Only military carbs and some marine units have sealed throttle shafts, any other carb will leak liquid if it's overflowing inside.
I'd suspect the fuel bowl gasket is not sealing properly or is damaged. The actual float valve/needle/seat could also be allowing fuel leakage inside if the fuel level is too high for some reason.
Pull the fuel bowl cover (top of carb ) off and inspect it.