Re: 2-7 blind defence
I think this is fine unless you know button to be fairly tight. Given that button appears willing to spew bets and still draw two, you have even more reason to play.
You are not all that far behind a two-card draw and you are getting better than 3:1 predraw. If you feel confident about your play, go ahead and defend. Otherwise fold. It's not going to be a huge mistake either way.
A 3,4, or 7 give you a decent draw; you are roughly 75% to pick up at least one of them. (A bit less since it is likely some of them are in the button's hand.) You can also catch good by hitting, say, 86, and you might continue with a bare 6 or 8 here as well. Plus if you make a pat hand nobody will ever give you credit.
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