Video shows the victim, a 46-year-old housekeeper at the Elmhurst Lodge, running to get away from the man.
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The housekeeper told the man she was going to clean his room, and he left but then remained in the doorway.
He's accused of exposing himself and performing a lewd act as he watched her clean.
Police say he then pulled out a gun and demanded she stay quiet, but as he started walking towards her, she was able to escape.
The man left the hotel on foot in an unknown direction.
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He's described as having a dark complexion, with a medium build, and short black hair. He was last seen wearing sunglasses, a black hooded winter jacket, blue jeans and black sneakers.
Anyone with information in regard to this incident is asked to call the NYPD's Crime Stoppers Hotline at 1-800-577-TIPS (8477) or for Spanish, 1-888-57-PISTA (74782).
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