WASHINGTON — The Trump administration on Thursday asked the Supreme Court to overturn a lower court ruling and allow the president to fire Federal Reserve Board member Lisa Cook. Trump said in late August that he wanted to remove Cook, the first Black woman to serve on the Federal Reserve Board, alleging she falsified some information in a mortgage application. Cook’s attorneys filed a lawsuit in federal court a few days later, arguing that Trump’s attempts were political and violated her due process rights. A three-judge panel from that court earlier this week rejected the Trump administration’s request to overturn the district court’s preliminary injunction while the case proceeds. The 2-1 ruling split Judge Gregory G. Katsas, whom Trump nominated during his first term, and Judges J. Michelle Childs and Bradley N. Garcia, both nominated by former President Joe Biden.