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If we want a cool name, and not a plagiarism of League of Legends called "League of Legends," let's brainstorm. I'm going with a fairytale theme. Not all suggestions are serious, but that's how brainstorming works; hopefully, it will spark some ideas.
On the wings of a crane
Self-assembling tablecloth (a play on the word "battle")
Flower with seven petals (make a wish, and our diverse company will fulfill it)
Green path
Sea the color of the sun (perhaps it would be more logical with a stronger arterial bias in the group than it has now)
Sea, sun, and sand (a description of our nationalities)
Era of Legends (if not a league, then an era)
Creators of history