Anyone know Honda small engines well?

[singlestacksig]

I have a Honda GX340 engine, and I have found this broken wire, but I am not sure what it goes to.. It passes behind the flywheel, so I would like to find out what it is before I go thru all the work of pulling the flywheel.. The engine runs, so I am not sure what this could be.. I suspect it is the charge wire, from the coil.. but I am not sure..

 

[91FXRS]

It belongs in the connector to the right of it. I believe that is for your low oil shutdown or kill switch