SPRINGFIELD — As the state’s high court agreed to take up a multibillion-dollar verdict in a cigarette advertising dispute last week, one of the justices shot down a request to recuse himself from the case. Justice Lloyd A. Karmeier filed a 16-page rebuttal to the plaintiffs in the case, saying their claim that his 2004 campaign was bankrolled by affiliates of defendant Philip Morris USA Inc. is “based entirely on conjecture, innuendo and speculation” that “took on a life of its own for …