OMG, your generator will die a horrible early death if you don’t run each month! I’m kidding but that’s what the message is in the recent generator thread, lol.
Don’t just leave the house battery cooking off of the converter while plugged in, unless you know it’s a smart charger. Even then, I’d probably yank the batteries, charge them fully and leave them inside.
I also would have run the fuel down real low and treated what was left in the tank so could top it off with fresh fuel. I’m not a proponent of intentionally burning old gasoline in my vehicles and toys. Too many years of hi perf engines to get on board with burning bad gasoline I suppose.
If your worried about a little condensation and that’s why you filled it up, the ethanol content in standard E10 or whatever fuel will eat up some moisture like it was never there.