Sorry to say, but fixing the broken wire did not fix the problem. The search continues.
I have a spare motor from the kart’s previous owner. I’ve swapped carbs and, next time out, will see if this isolates the problem. If not, I’ll swap motors. If that fixes the problem, good; if not, it’s probably the ignition box. At least that’s my thoughts. Your thoughts? Again, this problem occurs only after about 20 or 30 minutes of running and doesn’t come on quickly, but builds until the engine doesn’t run well at all.