Sounds like fuel air mixture, but may not actually be the carb/choke.
How about the gas cap - most have vents that need to be opened when running, closed when carrying? Do / did you remember to open yours?
Look for simple solutions first, then start poking around with tools.
How much time elapsed between running it the second and third time? Is the fuel bad? If the carb isn't varnished (brown coating on the metal) it might be just a blow out the jet's issue, if it's varnished soak it as a unit and try it before taking it apart.
Did you refill with E85 and melt the innards?
Is the choke set and operating properly (not sticking, popping once hot etc..). Again, going with the simple solution first make sure it's operating correctly since the engine shuts down when you close it, or speed up the throttle. - it might not be fuel, it might be air
It might be fuel, but look for the easy, single answer to a single problem solution first.