So, since I'm sure someone will notice, I just realized that Oriko's team's shirts say "Reigns." I thought it was just gibberish but it was the next best thing: Cursive.
That means that her team's name is likely "Blacky REIGNS" and not "Blacky Rain." I also got myself mixed up cuz when they do their first pose they say レインっ as opposed to their introductory text that says レインズ (レイン sounds like Rain and Reign). The only difference is the first has a small -tsu (っ) (which is also written in Hiragana as opposed to the rest of the word in Katakana) at the end which indicates a full-stop at the end of the word and is not pronounced while the second uses the Katakana for Zu (ズ), which would be pronounced.
This is a two-part chapter and in the next I will endeavor to fix this mistake. My apologies.