I don't think carbs are that difficult to rebuild, but you should check/eliminate the easy and obvious things first. Fuel pump output, spark plug type & gap, point gap/dwell, timing, you get the idea.
I agree that it sounds like the accelerator pump, but it's odd that it started acting up "recently" with "recently" changed ignition parts.

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If you can't fix it with a hammer and screwdriver, you need a bigger hammer.
1965 Chevy C10