Governed engines are a slightly different beast.
In a race engine you look to get a steep increase in the power curve for maximum acceleration followed by a flat peak torque line so all you have to do is keep increasing the revs and you power on to victory.
But these engines are governed, at 3600rpm, they spin quite slow compared to a race engine doing 3 to 4 times that speed.
So much of what you would do to get more out of a race engine produces little outcome on a governed engine.
The mower factories work out the power requirements of a mower then add 20% to 25% to that figure then go looking for an engine .
Briggs rates engines in 1/2 Hp incriments and they do this by detuning the engine down to what the mower makers want.
The first 2 numbers in your engine model is the capacity in Cu inches which in your case I am guessing is 44 ( 742cc ) which is a 26Hp engine .
Briggs chokes it down to make a 24 Hp , 22 Hp & 20 Hp engine.
Back in the Pre EPA days the simplist thing was to fit different main jets, now days they choke down the engine & fit different governor springs.
AFAIK the jet sizes do not change within a capacity group.