The NYPD’s controversial practice of raiding Big Apple nightspots is being put to bed, city officials said Thursday — following years of complaints from local businesses. A new policy, announced by Mayor Eric Adams on Thursday, would replace the Giuliani-era MARCH initiative — or Multi-Agency Response to Community Hotspots — that led to cops storming into bars and clubs for surprise inspections during business hours. “Today, we are changing the way we engage with nightlife establishments by opening direct lines of communication with local businesses and giving them a chance to correct issues before enforcement takes place,” Adams said