EXCLUSIVE: Sources have informed Deadline that Channing Tatum, his production company Free Association and its principals Reid Carolin and Peter Kiernan are signing with CAA for representation in all areas. Writer-producer-director Carolin has also signed with CAA individually. The move comes after Tatum in January parted ways with his longtime reps at UTA and Management 360. Tatum counts close to $4.5 billion at the global box office from such notable pics as Kingsman: Th…