Black shrouds and scaffolding have gone up over 1568 Broadway’s lower floors as crews begin the process of removing its Times Square-facing billboards and marquees. Meanwhile, workers are beginning to gut the interiors of the 470-foot-tall tower ahead of its imminent demolition. Built in 1990, the current DoubleTree hotel will eventually make way for a new 46-story DoubleTree Suites by Hilton. The proposed 550,000-square-foot development, which will be called TSX Broadway, will preserve of the 106-year-old Palace Theatre by raising it three stories up from the ground floor, making way for retail space. The $2.5 billion project is being developed by L&L Holding Company, Maefield Development, and Fortress Investment Group. The site was previously purchased for $450 million.