Engine:McCulloch 2 cycle leaf blower

Symptom:Starts up fine, cold. After 2-3 minutes it
just dies, no sputter or cough. When it cools it's good
for 2-3 minutes. Appears tempature dependant, the warmer
the day, the earlier it shuts off.

It has electronic ignition and kill(off/on) switch. The carburater
"looks" pretty new.

Any advice?