Surging is a lean running condition caused by too much air, or not enough fuel.
The opposed twin carbs are fairly simple to me, to clean.'
I find it easier to remove the intake manifold from the engine, and then remove the 7/16" mounting screws that mount the carb to the manifold.
PART 1
https://outdoorpowerinfo.com/repairs/briggs_opposed_twin_carb.asp
PART 2
https://outdoorpowerinfo.com/repairs/briggs_opposed_twin_carb2.asp
I wouldn't mess with the fuel pump quite yet, scroll down to step #10