Everybody talked about the inverter, or the coffee maker!
Nobody talked about the problem of wiring the outlet
Basically you have TWO choices
Go whole house
Or
Run a new dedicated circuit to that location
Trying to rewire that outlet/circuit will be next to impossible
You just don't have access to the wiring
You would have to find the hidden junction box (behind closets cabinets etc..)
and run the inverter power to that area and connect it
And since you have to run new wire, it's easier to run a new circuit, than rewire an existing one