With no disrespect intended, this may be a faulty diagnosis. It would be quite normal with todays fuel for the primary plugs to be wet if you removed the carb within a few hours after a run.

Suggestion: before trying to reseal the plugs, try making a fixture to hold the carb on your work bench, completely dry the plugs (paper towel works well) and then fill the carb with fuel using an eye dropper through the bowl vent. Now you can see if they really are leaking.

Jon.