The musical adaptation of 1983 pic “A Christmas Story” has locked in a Broadway bow, claiming the Lunt-Fontanne Theater for a seasonal run.Move had widely been expected, particularly once producers of the current occupant of the Lunt-Fontanne, “Ghost,” announced earlier this week that that show would shutter July 24, leaving the venue open for “Christmas Story.” Musical, with book by Joseph Robinette and songs by Benj Pasek and Justin Paul, bowed in Seattle in 2010 and played a national tour in 2011. Helmed by John Rando (“Urinetown”) and choreographed by Warren Carlyle, the tuner marks the second New York stint this season for young tunesmiths Pasek and Paul, whose musical “Dogfight” recently opened at Off Broadway’s Second Stage. Limited runs of seasonal titles have become increasingly commonplace on the Main Stem, with 2006 outing “How the Grinch Stole Christmas” leading the way for subsequent offerings “White Christmas” and “Elf.” This year the yuletide frame may prove especially competitive, with “Elf” expected by many legiters to return to the Rialto this year following its initial 2010 outing. The Rockettes’ annual “Radio City Christmas Spectacular” also is in the mix, targeting the same demo as Broadway’s mistletoe fare. Gerald Goehring, Roy Miller, Michael F. Mitri, Pat Flicker Addiss, Mariano Tolentino, Louise H. Beard, Michael Filerman, Scott Hart, Timothy Laczynski, Bartner/Jenkins Entertainment, Angela Milonas and Bradford W. Smith produce the Broadway stint along with Billingsley.