No do not unscrew the airscrew any more. If the airscrew falls out, you risk contamination of your carb. Then you need to thoroughly clean the airscrew and decide whether or not you feel confident enough that no dirt/dust could have entered your spotlessy cleaned bike and workspace.
Follow KX02's advice, and write down your final carb settings for that date,elevation,and temp. This info will save you alot of headache in the future. Out west we ride all year long, so your 2 stroke should be jetted cleanly Jan-Dec. And that requires frequent jetting adjustments based on altitude of riding spot and temp.