If it idles well for any length of time then dies, suspect the fuel pump as "TimGuy" mentions above, especially if pumping the fuel primer bulb (acting as a manual fuel pump) improves the running condition.
However, If returning the engine to idle results in having the engine die out rather quickly, the carburetor needs cleaning and rebuilding... a normal and usual problem due to having a engine sit for any great length of time.
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Carburetor Adjustment - Single S/S Adjustable Needle Valve)
(J. Reeves)
Initial setting is: Slow speed = seat gently, then open 1-1/2 turns.
Start engine and set the rpms to where it just stays running. In segments of 1/8 turns, start to turn the S/S needle valve in. Wait a few seconds for the engine to respond. As you turn the valve in, the rpms will increase. Lower the rpms again to where the engine will just stay running.
Eventually you'll hit the point where the engine wants to die out or it will spit back (sounds like a mild backfire). At that point, back out the valve 1/4 turn. Within that 1/4 turn, you'll find the smoothest slow speed setting.
When you have finished the above adjustment, you will have no reason to move them again unless the carburetor fouls/gums up from sitting, in which case you would be required to remove, clean, and rebuild the carburetor anyway.
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