First, this sudden dying, is it no power immediately or is it less power, sputtering and then dying. If it's the first I think it's ignition related, if it's the latter I'd say fuel related. But to settle that, pull a plug when it dies, is the plug wet with fuel or dry?
Here are some suggestions
Ignition related: Remove all you can and go back to basics. Install a borrowed points distributor and coil. If it then works fine, install all your electronic components one at a time to find the culprit. I know it's easier said than done... On my Longchamp I gave up fixing a idle quality issue I had with a Mallory distributor, new coil and ignition box combo. I put on an old Accel points distributor and it has worked perfectly since
Fuel related:
If it dies when you require much fuel (going fast or uphill) then I'd say fuel filter or maybe even a clogging in the tank itself? Or it could be this one, don't know if it's possible on your type of engine, but if the rod from the cam to the fuel pump gets to be "too big" when hot, it stays in the down position and you have no fuel pressure.
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