The pot is $9.50, you bet $8, and villain raises to $16 we 3bet $32. Cost to find out where we are $24.

OR

We call minraise ($8). Turn pot is $41.50 and we lead for at least half pot ($20). Cost to find out where we are $28.
I did count it up, but I thought that are 3-bet would be larger than just double are opponents raise, and that we could bet less than half the pot on the turn if we just call our opponents raise.