Hey Allen how are you?
I hate to admit this but somehow I got a Randy Smith LA46, second hand, from I don't remember where. It did exactly what you are saying. First run perfect, never missed a beat. Then, after that it would run okay for 2 minutes or so, slow down, not lean out it would just slow down then stop!!!
I sent it to a mechanic, here in Australia, who told me the head bolts were loose! I felt very stupid! I had taken the head off to check the wear and hadn't tightened them properly. So dumb.
Works like a watch now.....
Probably not what is going on with yours but sounds so similar.
All the best
Craig