Ok, I'm going to answer one question at a time. Because, I'm that slow. I might be wrong. But, I'm answering, and I'm learning.

Question 1: If Villain continues against a 3-bet with {TT+, AQs+, AKo}, is a 3-bet bluff to 12bb profitable?

Assuming 147 opening hands, and 42 continuing hands, that gives us 28.5% of his range that will continue. He is therefore folding 71.5% of the time. He needs to fold 68.6% of the time to be profitable.
Needs to fold<Folding Therefore, YES it would be profitable.