We have a lot of Carbs in our fleet and many of them store with no running over the winter months. We have used Sta-bil plus a little ethanol treatment for storage and never had any issues with it..
I have a riding mower. I use E10 gas in it because the nearest E0 gas station is about 25 miles away.
I leave the gas in it over the winter and it always starts up in the spring with no problems. I add a little TC-W3 to the gas before I store it for the winter, but I doubt that is actually helping keep the carb from getting gummed up. Aside from that I add nothing else to the gas.