While Anna Sawai has been busy conquering TV and film, the Emmy-winning “Shōgun” star first got her start in show business as a member of the J-pop band FAKY. Now, Sawai is going back to her musical roots in the role of Yoko Ono in Sam Mendes’ forthcoming “Beatles” biopics .  “It was my dream to tell her story and I didn’t think it would come this quick,” Sawai told Variety at the Los Angeles premiere of Apple TV’s “ Monarch: Legacy of Monsters ” Season 2 on Thursday night. “There’s a version