OESD + back door flush vs LW player/all-in?

[labrat]

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My issue is I don't want to give away a big pot against a loose weak player

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But you dont want to hand your stack to him either.
When villain 2 re-raises you have a clear fold unless you think they will fold to your push (and I think this almost never happens) calling is by far the worst option imo.

On the flop, you have put in your whole stack with 6 high and no FE.

Prayformojo's first post was spot on, except that I think you should call now that you've seen villain1 has folded.