Burien-based catering company Lavish Roots said Tuesday, June 9, it is not closing its doors, despite a state filing affecting 263 employees that the company says is tied to the loss of a major client contract. The statement came after reports about a Worker Adjustment and Retraining Notification, or WARN, filed with the Washington State Employment Security Department. The filing, first reported by The Seattle Times, indicated that 263 workers a…