Accelerator jet is clogged, can it be removed?

Im in the process of rebuilding a carb for a 99 Dyna Wide Glide. The bike sat for 5 years in a shed and the carb was in bad shape. Ive cleaned it good, let it soak in carb cleaner for 8 hours and tried carb cleaner in the can and compressed air. I cannot get air to come out through the accelerator jet. I did get some black liquid to come out of it one time but that was it. Im thinking at this point i just need to remove it and clean it. Whats the best way to do this without tearing up the jet or the float bowl. Also, do i need to do anything special to reinstall it? Thanks

Thanks for the reply. I removed the jet with a drill per the instructions. It was difficult to get it tight enough to really grasp it so i chewed the outside of the jet up some but the top part of the jet was un harmed. Once removed, i found my issue. Inside was a piece that looked exactly like the plunger for the float bowl but smaller and with no rubber. This piece had thick yellow varnish on it and had molded itself to the inside under the accelerator jet. I was eventually able to get it freed by using carb cleaner and an air compressor. I let the plunger sit in carb cleaner for about an hour and this removed most of the varnish. I reinstalled the plunger and reinstalled the jet (i had to use the drill to grasp it again and just pushed it back in). After all this, its working as it should and it now flowing air through it when using the air compressor. The jet is still nice and tight. Thanks for all the help