that would be Turn of the Century Wars (engstars War at the End of Century)! where they (pretend) to get a snapshot of mao with a girl (sora in ponytails) to try to force his arm on giving them permission to hold a dragon king competition dreamfes to cheer tetora up.

there's a TL by Sylph here! - https://alabastersylph.dreamwidth.org/757.html