Okay, everyone is allowed to change their picks once before we actually do the selection process. It's really just the players in a roll-off for the first round that need to re-assess what they could actually get in round 2. I think next time I try this method it'll be blind bidding
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I just ran a mock selection with the players and picks we have now and one person was forced to choose something else. Everyone else got one of their three picks (one person got a third).