Hello Joe & Welcome to the Forum...
If the battery is going down while it is setting... the charging system (voltage regulator) nay have a diode shorted out and it is discharging the battery...
If the battery is starting out full charged and is loosing charge while mowing ... again it's most likely the charging system is not charging...
Start by checking if you have a fuse or fuse able link at the starter solenoid ...
That Briggs engine has a tiny 8 amp charger, but you don't have an electric PTO clutch so there is no electrical load ...? :smile:KennyV