The NYPD is bracing for potential “disruptions” of next week’s New Year’s Eve celebration in Times Square, Mayor Eric Adams said Tuesday while lamenting “very troubling” new restrictions around how cops can respond to large-scale protests in the city. In a briefing at City Hall, Adams did not mention any specific known threats related to the annual festivities. But he referenced recent attempts by pro-Palestine protesters to interrupt events in the city, like last month’s Christmas tree-lighting at Rockefeller Center, where demonstrators clashed with cops. “There’s an added concern because of …