The fully electric Mini does often come from the dealerships set to a slower charge rate.
If you look on Menu>Information the MIN PWM if shows 53% Zappi is offering a full charge speed to the vehicle (7kW at 230v).
There are two main reasons the Mini's won't charge at 7kW:
1 - Charge lead isn't rated to 32amps - We know that is not the case already.
2 - The car is set to a reduced charge.
It would appear that the menu for this is within the setting charging current on the display, charging cable mode needs to be set to MAX.
Images attached to give context may not be 100% accurate for your model.
If you check the above and then test the charge again assuming you are on a 32amp charger with a 32amp charge lead and find the issue remains please do get in touch with our Technical Support Team at Support@myenergi.com or Calling 0333 300 0313