“The Late Late Show” is officially coming to a close on April 28, and with it the end of segments like “Carpool Karaoke,” “Drop the Mic,” “Crosswalk Musical,” and “Spill Your Guts or Fill Your Guts.” Before James Corden takes his last bow as the show’s host, Adele joined her longtime friend for one final segment of “Carpool Karaoke.” After more than a decade of friendship, the duo sang their hearts out to a medley of Adele’s greatest hits, including “Rolling in the Deep,” “Love Is A Game,”…