A New York Times writer has “resigned” after signing a letter falsely accusing Israel of genocide against the Palestinian people — and denouncing her own paper’s coverage of the country’s war against Hamas. Jazmine Hughes, a staff writer for New York Times Magazine, left the publication Friday, the paper told staffers in an email obtained by The Post. “While I respect that she has strong convictions, this was a clear violation of The Times’s policy on public protest,” said magazine editor Jake Silverstein. “This policy, which I fully support, is an important part of our commitment to independence.” “She and...