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Title self-explanatory. TrueSkill is a much better way to have a skill rating for a project like this because it is designed for team-based games, while taking the average ELO of a team and applying the same change effect to each of them doesn't necessarily produce consistent results.
Some links to reference:
https://www.microsoft.com/en-us/research/wp-content/uploads/2007/01/NIPS2006_0688.pdf
https://www.moserware.com/assets/computing-your-skill/The%20Math%20Behind%20TrueSkill.pdf
There exists a python package that already implements it that could be used: https://trueskill.org/
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