Cusser
+1y
Aha !!! That sounds like you've got a vacuum leak, most likely under the Weber or the Weber adapters, common with these Webers. Use sealant such as Permatex Aviation on all adapter gaskets, and torque correctly, use blue Loctite. I'm runing gaskets made from rubberized sheet gasket from O'Reillys on mine. I had re-used the original gaskets a few times, but then got a vacuum leak, and made my own gaskets rather than order from NY or California.
When you put your hand over the carb throat you decrease the amount of air getting in that way (as some is sneaking in under the carb) and approximates correct air-fuel ratio.
Try using aerosol starting fluid under the carb as its running, see if that affects the idle, another way to tell.