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An arrest has been made in connection with the shooting of New York Jets player Kris Boyd ... a person of interest was taken into custody in Buffalo on Monday, TMZ Sports confirmed.

Law enforcement sources say a 20-year-old man was arrested in Western New York just hours ago ... and is currently on his way back to the Big Apple to face charges in the case.

NYPD and U.S. Marshals were both part of the apprehension. TMZ.com

Boyd was shot outside NYC hotspot Sei Less -- an Asian fusion restaurant a few blocks away from Times Square -- around 2 AM on November 16.

The 29-year-old suffered a gunshot wound to the abdomen, leaving him fighting for his life in critical condition. A few days later, KB took to his Instagram to share an update with his followers, saying he

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