You want to avoid breaking off the point of the needle, or messing up the orifice where the needle seats. With that in mind, I would pull off the plug on top of the carb to see in there. First, you may find the point of another needle broken off in there -- would need to gently push it out. Second, you want to be able to see whether or not the needle is seating, and will be able to do that with the plug removed. Assuming the orifice isn't jammed, you may just be running up against that bearing (plastic) or washers (fiber or rubber). Checking from the top to see progress, you can lube the needle a bit and see if you can gently screw it through the washers or bearing(s). If you can grip it with the threads, you might be able to pull out whatever is in there, assuming it's not something metallic. First check for a broken needle.