Good afternoon,
2nd post of the day to ask about a fuel system issue on a B&S 12hp on a Westwood T1200 ride on mower. The issue being the engine will start on the pull start, run with inconsistent revs for a time and then die. I believe this to be a fuel to air ratio problem, but I could be wrong. I have replaced the air filter, fuel pipe and fuel filter. Having removed the air filter and housing I have seen small amounts of fuel at the base of the filter. I have removed the carburetor and cleaned it, there was some rust at the bottom of the bowl likely due to age.
I have had trouble finding a replacement carburetor as they don't seem to be made in that shape anymore. I have attached an image of the model type and code as best as I could.