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Under the surety agreement signed by the bailee and the court, she has the power and responsibility to do that which is necessary to return the bailee to the court.
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I doubt that implies dead or alive. But according to the article, her case hinged on whether or not it was self-defense. I didn’t see that in the video, I just saw her taking aim and shooting him as he was fleeing. Her son’s testimony probably helped, but who wants to see his mother go to prison?