The fuse is blowing because one of the ground wires is connected to a power wire or a power wire is connected to ground
It is difficult when some idiot mutilates the wiring
The 2 wires from the stator are the wires I was talking about
They go into a white plug
The red wire is DC to recharge the battery if the diode ( the bulge in the wire just before the plug ) is working
The black wire next to it is AC for lights only
This is why that stator is called a "Duel Circuit" alternator .
Your mower has no AC circuits
Now some times people put a diode on that wire as well and also run it to the battery in order to use the wrong stator.
This is a fools errand as it burns out the stator and usually the diodes regularly fail as they do not have enough capacity to remove the heat they generate .
Mower engines are self powering
Once you start them they require no power to run other than for the carb solenoid .
So getting it to run is no big deal, I do that all the time on my engine stand with a jumper pack & transistor battery for the solenoid .
The approximate wiring diagram is found in the Owners manual which is a free download from Hustler .
Briggs put out a booklet for several years called "the repower guide " which was all about electrical systems and contains generic diagrams for every possible set up
So download the Hustler manual , it is free and that will show you what the MOWER wires colour code is which hopefully should be the same on the engine side of Mr Incompetents joins
Under is the only one I have that is worth posting
It might not be exactly the same as yours but the colours should be the same
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