heterotelic - having the purpose of its existence or occurrence outside of or apart from itself.
or
autotelic - having a purpose in and not apart from itself
If you want something unique, I suggest coming up with some words that describe what you guys are about, or how you feel.
The dictionary usually shows the old latin words they originally came from which may sound cool if the original name is already taken. Alternatively you may also find a cool alternate of the word by using the thesaurus.
Best of luck
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