When we see Paris, the Eifel Tower is under construction. Later, we find out that the competition is for a role in a performance of the Nutcracker. The Eifel Tower was completed in 1889, and the Nutcracker didn't debut until 1892.
The trivia item below may give away important plot points.
The character played by Maddie Ziegler is repeatedly said to have no passion and emotion when she dances which ends up losing her the place in the final show. When performing on Dance Moms, Maddie was well know for putting a lot of emotion into her performances, (the Maddie face) and became one of her signature moves.