The answer to your question is not an easy answer; Since the original word used here was:
שׂכל Pronounced śâkal
For myself I do believe that choosing our current state as opposed to remaining in God’s pristine state was either wise nor desirable.
Brown Driver Biggs Definition:
1) to be prudent, be circumspect, wisely understand, prosper
1a) (Qal) to be prudent, be circumspect
1b1) to look at or upon, have insight
1b2) to give attention to, consider, ponder, be prudent
1b3) to have insight, have comprehension
1b3a) insight, comprehension (substantive)
1b4) to cause to consider, give insight, teach
1b4a) the teachers, the wise
1b5) to act circumspectly, act prudently, act wisely
1b6) to prosper, have success
1b7) to cause to prosper
2) (Piel) to lay crosswise, cross (hands)
Part of Speech: verb
A Related Word by BDB/Strong’s Number: a primitive root same Word by TWOT Number: 2263, 2264
As defined by Merriam Webster
WISE, a. s as z. [G., to know., L.]
Properly, having knowledge; hence, having the power of discerning and judging correctly, or of discriminating between what is true and what is false; between what is fit and proper, and what is improper; as a wise prince; a wise magistrate. Solomon was deemed the wisest man. But a man may be speculatively and not practically wise. Hence,
Discrete and judicious in the use or applications of knowledge; choosing laudable ends, and the best means to accomplish them. This is to be practically wise. Gen 41.
According to Easton.
Or wisdom, a moral rather than an intellectual quality. To be “foolish” is to be godless (Psalms 14:1; compare Judges 19:23; 2nd. Samuel 13:13). True wisdom is a gift from God to those who ask it (Job 28:12-28; Proverbs 3:13-18; Romans 1:22; Romans 16:27; 1st. Corinthians 1:17-21; 1st. Corinthians 2:6-8; James 1:5). “Wisdom” in Proverbs 1:20; Proverbs 8:1; Proverbs 9:1-5 may be regarded not as a mere personification of the attribute of wisdom, but as a divine person, “Christ the power of God and the wisdom of God” (1st. Corinthians 1:24).
In Matthew 11:19 it is the personified principle of wisdom that is meant.
To my estimation Easton really has the most Biblically accurate definition and actually the word wise was not the most accurate translation in:
Genesis 3:6 So when the woman saw that the tree was good for food, that it was pleasant to the eyes, and a tree desirable to make one wise, she took of its fruit and ate. She also gave to her husband with her, and he ate.
As becomes apparent in the next verse:
Genesis 3:7 Then the eyes of both of them were opened, and they knew that they were naked; and they sewed fig leaves together and made themselves coverings.
Perhaps a better translation would be:
Genesis 3:6 So when the woman saw that the tree was good for food, that it was pleasant to the eyes, and a tree desirable to give one knowledge, she took of its fruit and ate. She also gave to her husband with her, and he ate.
In my way of understanding; the wise choice would be to have never sinned in the first place. While it is true that after eating from the tree they now were faced with a choice to choose either good or evil, it does not seem that they were any wiser in that it has been the underlying desire of mankind to be back in the state of being amicable and acceptable to God.
It appears that the reason God did not want them to gain the knowledge of good and evil is that:
Genesis 8:21 And the LORD smelled a soothing aroma. Then the LORD said in His heart, "I will never again curse the ground for man's sake, although the imagination of man's heart is evil from his youth; nor will I again destroy every living thing as I have done.
So to wind up in the current state of mankind as opposed to how it was in the Garden of Eden does not seem to my Southern Baptist mind to be a wise choice.
All scripture is quoted from the New King James translation.