By Barbara Goldberg and Julia Harte NEW YORK (Reuters) -New York City Mayor Eric Adams on Monday announced a plan to end gun violence in a city reeling from the fatal shooting of a police officer and a spate of violent crimes, as he promised to increase police officers in New York’s most violence-plagued communities. Adams, a former police captain, said the plan would deliver on his November election campaign pledge by deploying more officers, stemming the flow of guns into the city, and appointing anti-gun violence coordinators in every city agency. “We are turning our pain into purpose,” he …