NEW YORK — A writer who says former President Donald Trump raped her inside a Bergdorf Goodman dressing room in 1994 plans to sue him under New York’s Adult Survivors Act. E. Jean Carroll, who is already suing Trump for defamation, notified a judge overseeing the case of her intent to sue as soon as the statute allows on Nov. 24. The newly passed legislation allows victims of sexual assault to sue their alleged assailants for a one-year look-back period that suspends the statute of limitations. “Although we recognize that it is unusual to preview a yet-to-be-filed lawsuit for an adversary or j…