Hamas-backing Qatar has bankrolled film and stage projects by socialist Zohran Mamdani’s Israel-bashing movie-director mom — and one of its royals is now pushing her son’s mayoral bid, The Post has found. Sheikha Al-Mayassa bint Hamad Al-Thani, sister to the ruling emir, and the state-funded cultural institutions she controls, have supported Mira Nair and her creative projects since at least 2009, even extending a personal invitation to participate in the cultural program the country organized as part of the festivities around hosting the 2022 World Cup. Since mid-June, Sheikha Al-Thani has taken to promoting Mamdani’s mayoral candidacy on social media,...