If not already done, would assure all pilot jets are the same size (especially that #3 carb's pilot jet matches the pilot jets in the other carbs), and would also exchange #3 pilot jet with one of the other carb's pilot jet to see whether the problem moves to the other carb's cylinder.
Pilot jets are inexpensive, and while generally disliking the idea of throwing parts at a problem, it may be time to install a brand new pilot jet in #3 carb.
Given that the issue is fuel-related, and not compression-related and not ignition-related, some yet undiagnosed condition is allowing excessive fuel mixture into the carb bore, through the pilot port and/or through the mixture screw port.
Both of these bore ports receive fuel mixture that has supposedly been governed by the pilot jet.
There might be too much fuel or too little air arriving at the pilot jet, or a combination of those conditions, which could result in the reported fuel mixture richness symptoms, even with a perfect pilot jet and perfect everything else after the pilot jet.
Assure correct fuel volume to pilot jet, includes clear tube test verifying float bowl fuel level.
Assure correct air volume to pilot jet, includes undamaged intake jet and clear air passages.
If okay, re-address the pilot jet itself, and re-address flow of fuel mixture from pilot jet into the carb ports.
Good Fortune!