Most utilities in US/Canada will not provide 3 phase power to residences. For those that do, it’s 208Y120V, so it would charge more slowly than 240V. 480Y277V is only available for large industrial customers.
3 phase 400 amp service would be 3x400x120 or sqrt(3)x400x208 = 144kw. That’s excessive for any single family home under about 1000 sq meters (11,000 sq feet).
So 3 phase is not a solution to charging faster at home.
If one really needs to charge a Tesla at home faster than 11.5kw, the onboard chargers and wall connectors support voltages up to 277V nominal. At 48A, that would be 13.3kw. However, the onboard chargers are (or were) limited to 12.5kw at higher voltages. So install a 70A or 80A 240V breaker, run wiring sized for the chosen breaker to an autotransformer that‘s 240V primary and 277V secondary, and then hard wire (don’t use a receptacle) a wall connector to the secondary of the transformer (wiring sized for 60A nominal / 48A continuous). Set the wall connector for 48A and charging will be at 12.5kw (or maybe 13.3kw if Tesla have upgraded the onboard chargers). An electrician will try to sell you a transformer rated at 13.3kva or higher. An electrical engineer will tell you that a transformer rated at about 5kva will be fine.
If you’re unfortunate enough to have 3 phase 208Y120V, then get an autotransformer with a 208V primary and 277V secondary.