The gap of the plug on the affected side could be closed, please explain how this might help?
You could be having an over all ignition system failure and it only shows up on the one side because it has more compression or leaner air /fuel mixture requiring more demand on the ignition system
Closing up the gap will let that cylinder require less voltage to spark and the misfire may move to the other side ruling out any other problems with carb or compression.
After that I think you need to hot wire the the ignition system
Or you could hard wire a volt meter into the ignition system in different location and watch the voltage
I have a feeling you have a electrical connection heating up and getting high resistance in it. When you stop and let the system cool down a bit it closes.
You can also feel the connectors to see if one is getting hot
I think the time it takes to act up is to long to be a carb issue and you have confirmed that you are loosing spark when the problem happens