Sorry to potentially throw this all up again, but I don't think I'm reading this in the same way.
If Liverpool win the Europa league then that means there are only two Europa places for next season.
So that's either 5th & FA cup winners or 5th & 6th.
So if Palace win the cup, Liverpool win Europa then 6th won't qualify
Missed the small detail that you still get three Europa league places if Liverpool finish outside the Europa qualifying places.
Found this flow chart
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