Which the charging station has in spades. You should be able to run the heat pump at full bore when attached to a charger. And a regular heating element. Modern heat pumps have both, why not cars?
>You should be able to run the heat pump at full bore when attached to a charger.
That's how EV's currently work. Even those without heat pumps. I can see my E-transit's coolant heater[1] pull up to around ~5-6KW at full tilt battery heating mode when I plug into DC fast charging and its not sufficiently warmed. Cuts off once the HVB hits around 98F.