If the magneto & carb solenoid have wires connected to them then there are only 2 other long runs of wire inside a loom tube
One set will go the the electric clutch so they should run under the floor
The other set run to the headlights along the floor with a plug near the hood hinge
Unfortunately this plug is also very close to the muffler and unless checked regularly the cable tie breaks then the plug melts against the muffler
Form the photo I can not determine the colours of the wires but the wiring diagram star was good enough to post does have the wires colours listed
People get confused between a loom diagram and a wiring diagram
The Loom diagram shows how the wires run so will show those wires together , from one plug to another as in the one in this thread
https://www.lawnmowerforum.com/threads/engine-wire-help.73495/page-2#post-464206
A wiring diagram shows how the wires are connected electrically to the actual components so the lines are not to scale and not show as they run
So while the diagram Star posted show the headlights with a brown wire on one side of the headlights and a black on on the other side , in the loom they will both run together not come in from different sides .
This confuses people who were asleep during their physics class in high school or went to a school that taught creationism and not science .