Police were called to the location on Bay Parkway at around 11:30 p.m. Thursday.
They found the victim in a stairwell between the second and third floors, not the lobby as initial reports indicated.
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The man was taken to Maimonides Medical Center, where he was pronounced dead.
The man did not live in the building.
His name has not been released, pending family notification.
The motive for shooting is unknown.
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Investigators are searching for three men who fled in a four-door sedan southbound on Bay Parkway.
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