How much fat would need to be burned in order to shock-restart a human heart?

Imagine a device implanted inside the body which can detect when your heart has stopped and, in such a case, burns fat rapidly to generate enough energy to shock your heart into restarting, in a similar way to a modern defibrillator. How much fat would need to be burned to power this, without the need for a battery?

I had a quick google and found that the average defibrillator uses 200-360 Joules of energy, and 1g of fat burned can generate 3.6kJ but I think my research is poor or my understanding is poor, because 1g of fat to power a defibrillator unit seems like too little.

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How much fat would need to be burned in order to shock-restart a human heart?

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