As much as people are talking about 3 phase, do remember that the large majority of EU housing isn't 3 phase! It can sometimes be installed after, but it doesn't come with new housing as it's usually not needed.
I don't see a clear reason why the Tesla mobile charger wouldn't work, you can check the labels on it but it should handle higher voltage fine. After all you have 240v outlets also for some appliances.
Though... I do agree with the other comments! You'd be better just buying an EU model. On an imported car you can have the US style indicators I believe, but you'll confuse everyone around you who won't realise you're indicating, you also miss out on the ease of having CCS2, as the very large majority of EU charging uses the same connector, we don't need adapters for anything anymore in my experience.
As noted, you can't have window tint like yours here, and you'll also miss out on some EU model features like the ultrasonic alarm.
I've debated taking my car to the US, but run into the same issues really! It's a shame the same standards aren't used everywhere. I can drive anywhere in all EU countries, but can't go across the ocean.