Former Speaker of the House Rep. Nancy Pelosi , D-Calif., and Rep. Ilhan Omar, D-Minn., dodged answering questions on the growing influence of the socialist movement after three candidates backed by New York City Mayor Zohran Mamdani dominated in primary elections . Mamdani’s political clout was on display Tuesday night after all three House candidates he endorsed — Darializa Avila Chevalier, Brad Lander and Claire Valdez — won their Democratic primaries in New York , beating out more moderate