Yuck.... And you going to need a starter too.
You going to need the socket and plug along six each of the pin and sockets.
View attachment 69837
A 6 ga 1/4" cable lug.
And you need for the dual stator 1 each of the follow sockets and plug plus the matching sockets and pins.
View attachment 69838
Along with a 3-5 amp diode and heat shrink tubing.
The terminal splices are attaching the diode to the red wire under the shroud. May need more as it looks like you going need extend the wires too.
Of course this would be to do a professional rewire without having to replace the complete mower wiring harness. There is an available for the stator side repair but you still need the matching terminal housing .