Sounds like your Briggs man was less than experienced or just not interested !
The main issue is that there were several variations in the set up for the 13 series 5 Hp throttle / governor linkage. The main difference being between those with the throttle cable clamped to the carb on top of the tank and that clamped to the tank support bracket, low down by the engine base .
Worth investing in the BS manual 270962. Single cylinder L head manual – post 1981
