Are New York State court officers a kind of police force and are they police officers?

They are trained and certified as peace officer in the state of New York. They mostly work court security but also serve court subpoenas. They have state wide power of arrest.

"To be appointed to the Court Officer-Trainee title, candidates must pass a written examination and be at least 18 years old, a United States citizen, a New York State resident possess a High School Diploma or equivalent and a valid New York State Driver’s License. In addition to taking the written test, candidates must undergo medical, psychological and physical ability testing and an extensive background investigation. Upon successful completion of this process, candidates are offered entry into the New York State Court Officers Academy and receive 14-weeks of training.

Upon graduation, candidates are certified as peace officers of the State of New York." Https://www.nycourts.gov/careers/cot.

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