Briggs 25T2370045F1 wiring help

Hope this is the right place for this post . If incorrect can the moderators move it to the prober place .

I'm helping a bud that just had a snow blower installed on his quad . It has a Briggs # 25T2370045F1 engine . I was able to get the starting circuit working for the electric starter . The regulator has 2 yellow wires that dive into the engine & a red wire that's just floating going nowhere . Would this be the charging output & I should run this to the battery ? There is also another pair of black wires that come from maybe the top of the engine & one runs down to to what looks like a small relay & then comes out & goes to the low oil switch . Where does the other black wire go to ? Is there a wiring diagram for this engine somewhere that I can DL to figure this out ? Last time I tried to call Briggs to get some info they told me to call a local rep & ask them my questions . The service center they sent me to sure didn't act like they wanted to give me any info & finally after many hours online I found the answer to my questions .
thanks
animal

First off... Welcome to the forum!

Yes on the red wire coming from the voltage regulator.  You can run that to battery.

That black wire should be the magneto/coil kill wire.  You ground it to kill the engine.  It's tied to the oil low sensor.  When oil is low, it grounds and kills the engine also.

Link to manual.
Illustrated Parts List (thepowerportal.com)

Didn't see a wiring diagram.