Police in Manhattan shot and critically wounded an allegedly armed man who menaced people with a gun and then fired at officers who confronted him on Thursday night.

Law enforcement sources said the police-involved shooting happened just before 7:20 p.m. on Nov. 13 along Madison Avenue between East 95th and East 96th Streets on the Upper East Side, within the confines of the 19th Precinct.

Sources familiar with the investigation said officers were called to the location after receiving multiple 911 calls regarding a man pointing a firearm at people, including customers inside a nearby bodega.

Shortly after the police arrived at the scene, they encountered the man, who matched the description provided by witnesses.

When the officers approached, sources familiar with the case said, the m

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