I have been unexpectedly blessed today. 
I started reading Turn Around, it takes place right after the end of 曙光 in 王と夜啼! We might be getting to see the dance competition after all!!!
Chapter 1 starts us off later in the day after the end of 曙光; it’s right before the dance competition for Leo’s sword-training school. Alonso meets up with Kaito and Vicente, and the group decides to go wish Leo luck before it starts. Kaito is apparently incapable of winking; he ends up closing both eyes whenever he tries, and Alonso manages to sneak in a kiss in the forehead while he’s demonstrating. 
Ch. 2: Lmao, the difference in Kaito’s Spanish when he’s talking to anyone other than Leo and Alonso is continually hilarious. I noticed he said しけん when taking to Alonso in chapter 1 and 選考 taking to Leo here; Kaito’s far craftier than you might assume him to be sometimes. We also learn the fun fact that apparently Kaito’s family has been Buddhist for generations, which makes sense.
Anyway, the competition is on. Leo almost gets disqualified early after he has to sidestep another student slipping and falling, but King Philip intervenes, pointing out how slippery the floor is with everyone’s sweat since it’s such a hot day, and they take a break to clean the floor. Alonso has managed to procure ice for the occasion, impressing even Vicente, and everyone has a cool drink.