"If the longer tube (emulsion tube) does not drop out you can tap lightly on the side of the housing with the side of the screwdriver and it should drop out. These are almost always full of gunk. Notice that there are tiny holes on the side of the emulsion tube as well as down the center (2 pictures below)."
Just a tip for this part incase the emulsion tube is really stuck, if you look through the choke side of the carburetor you can see the tip of the emulsion tube poking up gently push down and it will come out. Tapping on the side was doing nothing to release it.
A brass bristled brush (like from a gun cleaning kit) worked well getting some hard deposits off.
