Former President Trump's legal team is pushing to overturn his hush money conviction and indictment following the Supreme Court's ruling on presidential immunity, arguing that evidence of official acts should have been excluded. The guilty verdict, involving falsifying business records related to a hush money payment, is being contested due to the use of presidential conduct as evidence. Trump's lawyers assert that prosecutors improperly relied on his actions as president, leading to the conviction. The Supreme Court decision on presidential immunity impacts Trump's criminal trials, raising questions about the admissibility of evidence from his time in office. Manhattan prosecutors have until July 24 to respond to the request to set aside the guilty verdict, with legal experts highlighting challenges in overturning the conviction given the nature of the case involving pre-presidential conduct.