Police shot and killed a fleeing home-invasion suspect who they said drew his gun on a sergeant Monday night in Brooklyn, the third person to be shot by New York Police Department officers this month.

The incident began when police responded to a call of a burglary in progress around 6:30 p.m. in Bensonhurst. When officers arrived at 2271 78th St., a man pushed out an air conditioner from the three-story home and fled down a fire escape in the back, Chief of Department James O’Neill said.

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