When it comes to the art form known as dance theater, the spotlight is definitely shining on Illinoise, which just made a bold jeté from a near sold-out run at the Park Avenue Armory to become a last-minute entry to the 2023-24 Broadway season, a gamble which thus far has paid off in critical praise and four Tony nominations. But fans of dance as a form of nonverbal storytelling would do well to boogie on down to Ne…