When David Hare's The Blue Room with Nicole Kidman was on Broadway in 1998, it seemed a thin and cliched story about sexual encounters. The Bridge Production Group at The WhiteBox Art Gallery tries to reinvent this loose adaptation of Arthur Schnitzler's Reigen (also a 1950s French movie, La Ronde) by performing it a small, basement art gallery, where costumes hang in the universal restroom and on a rack within …