Aha! Welcome to the Briggs flathead addiction my friend!

I've got a Model 8 3 HP as well! From those codes, you have a 2 HP, a 3 HP, and a 3.5 HP.
Not a ton of mods out there for the smaller ones, most of them are for 5 HPs.
I have some OEM float carb suggestions for you: Flo-Jet updraft carburetors.
Below is an older picture of my 5 HP with a Flo-Jet updraft, to give you and idea of what it'll look like. The intake manifold allows the carb to be bolted level.
Here's a few on Ebay for your size engines:
https://www.ebay.com/itm/briggs-str...745367?hash=item4b62a851d7:g:SbMAAOSwdJ9aGzS1 About $40.
https://www.ebay.com/itm/briggs-str...470543&hash=item2f2947a924:g:P9gAAMXQOT5Q~lUD Again, about $40.
You'd still need a manifold.
Can't remember the part number off the top of my head, I'll try to find it.
A member on here, KartFab, built a Bronda engine, putting a Predator 212 carburetor on a Briggs flathead with a custom intake.
If you want a float carb and an upgrade at the same time, look into a Mikuni or Keihin slide carb.
But all of these options will probably be more expensive and complicated than fixing up the stock tank mount carbs.