NEW YORK — Former Alaska Gov. Sarah Palin said she didn’t experience any COVID-19 symptoms while she had the virus as her libel trial against the New York Times began Thursday. “All cleared to go, never had any kind of symptoms and feel great,” Palin told reporters as she entered Manhattan federal court Thursday morning. Palin revealed she came down with the virus in late January, the day jury selection was set to begin, delaying her defamation trial for 10 days. The judge in the case noted that Palin was unvaccinated. The Republican firebrand is suing The Times and former editorial board edit…