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The block heater is very light. And removing it would be a pain.
You stated that you do not have power where you park, so you would need to carry all the power in a battery.
To run it the whole night you need even more power, because heat loss is a function of delta T. The hotter the engine is the faster it loses heat. So switching it on just before starting your car is the energetically optimal way of doing it.
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