the stator in a generator steals kinetic energy from the spinning shaft and releases it in the form of electricity, which slows the shaft down without some other rotational force. This is how regenerative braking works, as you guessed at. But its also how the electric car moves, because the system works in reverse*, passing a current through the stator transfers kinetic energy to the shaft, making it spin faster.
* the shaft already needs to be in motion for this to work, which is why motors are a little more complicated than backwards wired generators
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