The ring-type probe is not very accurate compared to the actual probe that goes into the hole on the cylinder head. They generally read 40-50° lower than the other probes. For safety, I definitely would not run your #3 cylinder with the ring type probe. @47U mentioned the fire sleeve, I hadn’t heard about that and will have to try it on mine.
The “intercylinder baffles” that someone mentioned isn’t a part of the doghouse, it’s the small piece of sheet metal that extends between the underside of cylinders #1 and #3 (as well as between 2 and 4 on the other side of the engine). Yours are probably there, but it would be worth a look to make sure it’s fitted properly.
There is an area behind and below cylinder #3 in the vicinity of the oil pressure adjustment that can be closed up a lot using some scrap sheet metal. The doghouse is very lacking in that area.
Swapping spark plugs is quick and easy and would be my first priority.
As others have mentioned, about the only thing that could cause an excessively lean mixture on only one cylinder in our carbureted engines would be an induction air leak, but that would show as an extremely high EGT for #3. Checking that would be my second priority, as well as checking as much of the rest of #3’s intake manifold while you’re at it. Also checking valve lash, in case the pushrods got mixed up.
I didn’t know there was a way to check the mixture distribution in a carbureted engine, could you please post that?
Good luck, please keep us posted about what you find out.