When you get the carb off the engine get a picture of it, like a side shot or maybe both sides.
What's gonna happen is you are going to enter the float chamber and check two things. 1. Is the float level about right. (probably is) and
2. Does the fuel flow shut off when the float raises. (probably doesn't)
A common reason for fuel to continue to flow when the float has raised is either a poor fit between the float valve and its seat, or some kind of crap has stuck itself to the face of the float valve or seat and won't let them stop the flow.
It's usually a simple matter of cleaning the valve and seat with carb cleaner in an aerosol can.