The incident happened on Monday, November 16.
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The victim was standing inside a lobby at 185 Park Hill Avenue when she was struck just before 7 p.m.
She was taken to Staten Island University North Hospital in critical condition and later put on life support.
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Police say she was not the intended target. Her identity is pending proper family notification.
A dark sedan was spotted leaving the scene.
No arrests have been made in the case.
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