Yes, it will work. I operated a home using a very similar electric load for six days using a similar generator.
In addition, if you have a tankless gas operated water heater you will have a nice hot shower +. So picture this:
Cold food (fridge)
Hot food++
Entertainment (TV/internet)+++
Fan
Small ac++++
Again, I did this. While not ideal I lived very well among the 158,000 impacted by this outage.
Notes for nonbelievers:
+Water is supplied for days after power outage by water towers and they have diesel backup. The electronics for the tankless draw less than 50 watts, it is operated on 120 volts
++Hot food comes from your grill
+++Surprisingly, the internet providers also use diesel backup
++++Yes, you can get small ac units that draw under 15 amps
I also recommend having a dozen MRIs on hand. Nothing beats a hot meal (MREs come with food heaters) when the outage first strikes. I have had them in the field, honestly they beat the food that I was served in Bagram, Afghanistan DFAC (chow hall) during the drawdown in 2020.
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