Its simple elementary school logic. Cause and effect. Someone pulls a gun, you run. Its that simple. Im not ignoring anything. I am focusing on the primary cause of the death. The kids running for their lifes from a guy with a gun. Now, if he didn't have a gun and was just chasing them, then its all on them. Its to be expected someone might get angry enough to engage in reckless endangerment with their driving. But a gun being involved could cause a reasonable fear for their life.
The events leading up to it are ill-relevant. They alone wouldn't have lead to a death. The singular act that led to the death was them being chased.
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There was no attempt to kill the guy. Egging isn't going to kill him. It certainly doesn't allow the guy to pull a gun. If he did.