Some of the cars let you decide how many amps to pull from the socket. It's never impossible.
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You'd want to restrict that on the "charger" (EVSE), not the car. It would be unsafe if changing a setting in your car can overheat your house wiring or trip a breaker.
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That's the problem though, you don't have dedicated equipment. Just a converter that doesn't know how much it can pull. I'd expect a breaker to pop. A lot of old wiring is not to code though.
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