While you have the carb apart, give the float a good shake to make sure that it doesn't have a leak for gas to get in. This will prevent the float valve from closing and cause the gas to leak just as yours is doing.
I have had an incredible rash of leaky brass floats on just about everything that I have been working on lately.
THREE brand new fuel sending unit floats, and a carburetor float in a Tecumseh minibike engine.
I am beginning to wonder if there is something in today's fuel which is eating solder.