Former New York City Mayor Rudy Giuliani has been hospitalized and is in "critical but stable condition," his spokesperson Ted Goodman said on Sunday.   He didn't provide more details about the 81-year-old's health condition. "Mayor Giuliani is ​a fighter who has faced every challenge in his ​life with unwavering strength, and he's fighting ​with that strength now," Goodman said in a statement. "We do ask that you join us in prayer for America's Mayor Rudy Giuliani." Giuliani was elected New York's mayor in 1993 after serving as one of the nation's highest-profile prosecutors. He earned the nickname "America's mayor” for leading New York City through the aftermath of the 9/11 terror attacks in 2001. From 'America's mayor' to Trump ally Giuliani became an adviser to Donald Trump during the latter's 2016 presidential campaign. He later served as Trump's personal attorney for a time , and became a vocal proponent of Trump's allegations of fraud in the 2020 presidential election.…