LUC COHEN and PADRAIC HALPIN JURORS in Donald Trump's civil rape trial saw a video deposition in which the former U.S. president mistook a photograph of E. Jean Carroll, his accuser, for his ex-wife Marla Maples. Carroll, 79, has testified that Trump, 76, raped her in a Bergdorf Goodman department store dressing room in Manhattan in the mid-1990s, and then tarred her reputation and career by lying about it online. Trump, the front-runner for the 2024 Republican residential nomination, has said he could not have raped Carroll, because "she's not my type" and has called the case politically motivated. He will not…