An NYPD officer from North Baldwin, dragged nearly three blocks by a stolen car in Brooklyn before falling and hitting his head, remained in a medically induced coma Monday, a law enforcement source said.

Officer Dalsh Veve, a nine-year veteran working in the 67 Precinct, attempted to sidestep the fleeing Honda Civic with a 15-year-old driver and three passengers before grabbing the car’s center post between the driver-side doors, said the source, who didn’t want to be named. Veve hit his head on the pavement, the source said, and remained in critical condition Monday at Kings County Hospital Center.

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Doctors put Veve in a medically induced coma last week to relieve swelling on his brain, officials said at the time.

Veve, born in Haiti and married with a young daughter, responded with other officers from the precinct at about 11:50 p.m. June 3 to a report of shots fired in Flatbush near Tilden Avenue and East 53rd Street, police said.

Officers soon concluded the gunshot sound was actually fireworks set off at a party. As the Honda sat parked across the street at a fire hydrant, Veve approached to question the occupants, police said. The car sped off, dragging Veve for two-and-a-half blocks, police said, before be broke free. As the car dragged Veve, he fired at least one shot, hitting the driver in the face, police said.

The teenager, who police said has a significant criminal history, later turned up at Brookdale Medical Center with a gunshot wound to the face. He remains hospitalized but faces charges with first-degree assault and attempted murder of a police officer, NYPD Chief of Detectives Robert Boyce said last week.

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Two other teenagers were charged with hindering prosecution, Boyce said. The car involved in the incident was stolen last month in Valley Stream, police said.