Its more likely to be the pilot jet but my a10 started and cut out like yours and the cause e was a blocked tickler as the tickler also lets air out as the petrol level rises, or not in my case so petrol flooded out the air inlets at the rear of the carb. I cleaned the pilot jet out several times to no avail and eventually found the problem by replacing the float side cover (as i have a 389) with cling film and found the cling film bulged out due to pressure building up in the float bowl, also the level stopped rising before the float valve shut off.
Just a thought!