OESD in 3-bet 3-way pot

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To both those that do like it and those that don't, what do you put BB on that makes it good/bad? I thought his line was really strange which means he's usually FOS, but I might be misinterpreting things.

To what blanko said, a strong hand reader might realise that my line also doesn't make much sense and looke me up with as little as QQ (terrible for me), but I don't see that sort of hero call very often here. If you were BB what would your calling range be? I think part of the problem is that even though the board isn't that good for it, a slowplay is a legit threat from any of us.