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What you're describing isn't really possible without a lot of manual intervention, but I think it can be done.
Tournaments in OOTP are almost non-existent, with the exception of League Associations. You'd basically need to create an empty league and manually move the players you want in the tournament into the empty league, schedule a tournament, and then move the players back again. Due to the way the database is structured, players can't be on two teams at once as they might actually be IRL.
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