Since electric cars run on electricity, and since heat pumps can run on electricity and are very efficient, it makes sense for the heating system in an electric car to be a heat pump. There are, in fact, certain electric car models whose heating systems do consist of heat pumps. In fact, all new Teslas have heat pump heating systems, and the heat pump in a Tesla has roughly a coefficient of performance equal to $.$

Suppose a new Tesla Model Y owner is sitting in their car parked near Santa Monica beach with all the doors and windows closed because it's a bit chilly outside. The car's owner is keeping the internal temperature of the air in the car at about $.$ This temperature is being maintained by the heat pump system in the car even though heat flows into the air in the car from the owner's body at a rate of about and simultaneously heat seeps out of the cabin at a rate of about into the outside air.

The internal volume of the Model Y is roughly six square meters, and the pressure of the air in the car is about one atmosphere. The car's battery has a capacity of about $.$

If the car's owner is sitting in their car for an hour, roughly what percent of the car's battery is depleted due to running the heater?