LYNN – A long-standing lawsuit wedged between two pizza shops has been thrown out of Supreme Court.After two years of appeals and backlashes, assistant city solicitor James Lamanna said the battle between Bianchi’s and Effie’s has finally come to a close.”The supreme court declined to take the case, so there will be no further appeals,” he said. “It was ultimately denied.”Lamanna said once the pizza shop owned by Carolyn Bianchi obtains the appropriate permits they would be able to open their doors to the public.”They’ll be able to start up whenever they want,” he said.Bianchi, who owns another pizza shop in Revere, was repeatedly stonewalled by Konstandinos Koutroubis and Florence Poulopoulos, who both hold interest in the pizza shop Effie’s, which is located in close proximity to Bianchi’s site.Immediately after the City Council granted a special permit to Bianchi in 2006 to sell food at 820-820A Boston St., which is located next door to Effie’s, Koutroubis and Poulopoulos filed an appeal and a lawsuit.After two separate rulings by Salem Superior Court and the Massachusetts Appeals Court in Bianchi’s favor, Koutroubis and Poulopoulos took the lawsuit to the next level and appealed to the Supreme Court last month.Frustrated by the turn of events, Bianchi previously said she just wanted to move past the lawsuit and start serving her tasty pies.Calls placed to Webb F. Primason, attorney for Bianchi’s, were not immediately returned Thursday.