NEW You can now listen to Fox News articles! A former New York City police officer who was sentenced to three to nine years in prison for fatally throwing a cooler at a fleeing suspect walked out of prison Monday after being granted bail while he appeals his conviction.  Erik Duran, 38, was released from custody at the Elmira Correctional Facility Monday afternoon, according to a social media post from the NYPD Sergeants Benevolent Association.  "First and foremost, I want to thank my family, particularly my wife, my children and my parents for all their unconditional love and support throughout his ordeal," Duran said in a statement released by the SBA. FORMER NYPD OFFICER WHO FATALLY THREW COOLER AT FLEEING SUSPECT GRANTED BAIL DURING APPEAL OF CONVICTION NYPD Sgt. Erik Duran appears in court during his arraignment at the Bronx Hall of Justice on Jan. 23, 2024. Duran was indicted in connection with the August 2023 death of Eric Duprey during an undercover drug operation. (Luiz C.…