Carrie Underwood jumped right in! According to an insider, the famous country star, 41, recently started filming for Season 23 of American Idol alongside her fellow judges, Luke Bryan and Lionel Richie. On October 2, the trio, along with host Ryan Seacrest, met in NYC for a photoshoot to promote the competition show, which Underwood won in 2005. “It’s been a whirlwind. They’ve been filming a lot of promotional content and auditions, so Carrie had to hit the ground running,” the insider dished. Bryan, 48, recently shared that they are working “like 13-hour days” during the auditions portion of …