New York City Mayor Zohran Mamdani will be in the guest seat next week for a special Big Apple broadcast of ABC’s “Jimmy Kimmel Live!,” the network announced Thursday. For one show, the social media-savvy Mamdani will join lefty host Jimmy Kimmel for his eighth-annual stint at the Brooklyn Academy of Music’s Howard Gilman Opera House from Sept. 28 through Oct. 2. Hizzoner will be one of several high-profile actors, politicians and musicians to grace Kimmel’s stage for the broadcast in front of a live studio audience — including fellow socialist firebrand, Sen. Bernie Sanders. Other guests lined up for…