OK, so for anyone else who ever has the same issue and isn't sure what to do - the needle point actually protrudes through into the barrell of the carb on the downstream side of the throttle plate. Pull the carb off the manifold and you'll see it. Some pressure with the round end of a ring spanner will pop that sucker right out of there.
Now time to find another, non broken mixture screw...
Cheers,
Doug
Bookmarks