NEW YORK—New York City Mayor Eric Adams is making an aggressive push to try to remove homeless people from the city’s sprawling subway system, announcing a plan to start barring people from sleeping on trains or riding the same lines all night. The new mayor, at one point, likening homelessness to a “cancerous sore,” said Friday that the city next week would deploy more teams of police officers and mental health workers to the transit network and start enforcing rules more strictly. “People tell me about their fear of using the system and we are going to ensure that fear is not New York’s reality,” Adams said. New York Gov. Kathy Hochul, who joined Adams at a subway station Friday to make the announcement, said the city and state can’t recover from the devastation of the pandemic until people return to their jobs—and ride the subway to get there. She …