Small Engine Troubleshooting Problems? Ask a Mechanic Now.
Is this the choke pin, with choke cable attached? Or does it have an actual flap in the throat? With stuck pin, sometimes tapping it in , will fee it up and get it where it will wiggle and pull out. But if not, best to just get another carburetor! I see plenty on Ebay , for not too much money!
If it has flap, can you get to the screws that hold the flap and remove them? Then you can drive the shaft out, to free it up