No such thing is necessary.
All they have to do is keep using pass when available and use Reincarnate when it gets available again.
It’s not very easy to do but if you had a very disciplined party that only kills the boss after the buff aplied this could be great.
Basicaly the thing about no right tome to use pass comes out of this:
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1st player uses reincarnate or whatever than pass.
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2nd player uses reincarnate or whatever than pass.
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3rd player uses reincarnate or whatever than pass.
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1st player already has pass again because he received 2 passes, so he casts pass again.
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2nd player now received 2 passes and has pass available, guess what he does? Pass again.
Basicaly that goes on and on, you have no cooldown to any skill as long as they keep using pass whenever it is possible, they don’t even have to ask their mates, just use it if it’s available.
Also it is probably better that the 3 of them use reincarnate together before starting the Pass circle to make it benefited from all passes.