A state appeals panel rejected a sleep-product and mattress technique designer’s bid to overturn an adverse jury verdict in a legal-malpractice case against the designer’s former counsel.King Koil Licensing Co. sued Roger B. Harris and his firm, Fox Swibel Levin & Carroll LLP, for allegedly botching the drafting of a licensing agreement between King Koil and one of its clients.After a two-week trial, a Cook County jury in November 2015 found Harris and Fox Swibel — then known as Fox Hefter Swibel …