On only its third stop as part of a national tour, “Beautiful: The Carole King Musical,” is once again bringing down the house. The magic continues here in D.C. through Sunday, Oct. 25. And next month, King, a true musical legend, will be saluted during the Kennedy Center Honors on Dec. 6. “Beautiful” tells the story of how Carole Klein became the cultural icon we now know as Carole King whose songs gave life to a host of singers during the ’60s, ’70s and ’80s.