I’m terribly tickled that “The Blue Lagoon: A Musical” will be produced in New York this summer as part of International CringeFest, a celebration of bad plays, musicals and films, with “bad” defined by the festival as “irreverent, politically incorrect, naughty and utterly zany.” I somehow suspected that a musical about incestuous teen lovers and their three-eyed baby — the show in which my favorite number is “(Even Though We’re Related) My Heart Palpitates When I See You” — might fit the bill.