It has been many years ago, but I had a similar issue with a pressure washer. The customer stated it just quit. After taking the base pan off found the crank gear had sheared the "key" off and did not drive the cam. Talked with Briggs and they stated the gears failed especially on pressure...
If you are concerned with charging the battery what color and how many wires come out of the alternator, and what color is the plug. If you need a larger or smaller alternator thy are just about all the same size but they also us different size magnets.
The only other wire you need to be...