There is only two levers on the carburetor's shafts. One is the throttle vane assembly and the other is the choke vane assy. Choke assemblies can be spring loaded to stay open or closed depending on the design needs. Usually the spring is there to keep the choke from constantly try to closed when at normal operating temps wearing out the shaft.
The smaller spring on the control assy is the governed idle spring which means this engine has an active idle control.
View attachment 63189
The 273521 OHV V-twin service manual will not hold you hand and walk you through step by step on removing the carburetor and intake assy. It is only a guide book for the professional repairer. It will however walk you the adjustment of the governed idle speed adjustments.
When reassembling the intake make sure you replace both of the square cut o-rings. Note: Briggs recently started using a new o-ring design in the intake manifolds Which I just seen lately when I installed a new intake manifold.