It sounds like you are describing the all plastic carb, with the nipple on the side that doesn't connect to anything, but shows a primer hose that connects to it but doesn't have the remote primer.
If so remove the carb, and the bowl, there is a jet on the side of the tower looking thing that gets clogged. also may need to pull the center piece out to do further cleaning.
that nipple has cause about 3-4 threads over the last year wondering what connects to it.