If a bullied victim goes too far with their revenge, do they become aggressors by then?

I'll be 3 examples, one happened in real life and two on an episode. I'll use fake names.

Real life: Girl was bullied by this other girl. She gets into a fight with the bully but continues it when the bully is already down. Then she bangs the bully's head on the pavement 3 times, leaving her with permanent brain damage.

Fiction example: Cindy and Mary are constantly humiliated and tormented (emotionally, verbally) by Janet, the most popular, highest GPA and pretty girl in HS. One day Mary takes revenge in science class and throws acid at Janet, leaving 1/2 of her face disfigured. Janet suffers permanent physical and emotional damage as a result. Mary feels justified but obviously is arrested for aggravated charges and immediately expelled.

Fiction example: Adam has been bullied for years by Justin. One day he get revenge by ambushing Justin from behind and stabbing him a couple times. Then as he's bleeding on the ground and not responding anymore, kicks him a bit. Adam is charged and expelled. Justin survived the attack but with permanent damages.

Bullying is obviously wrong but in these examples, isn't the bullied victim the aggressor by then? Wouldn't they stop being a victim if they take their revenge too far and cause permanent damage to their bully?

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The bully was wrong but the victim caused permanent bodily harm and/or disfigurement. Generally, many people that have been bullied don't take it that far.
If a bullied victim goes too far with their revenge, do they become aggressors by then?
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