The eating of the forbidden fruit, made Eve wise and like God, knowing the difference between good and evil, obedience and disobedience.
God doesn't say this about the tree. ((Genesis 2:16))
Satan is the one who says this, while deceiving Woman. ((Genesis 3:5))
God doesn't say the man & the woman have become like Him -- He says the man has. ((Genesis 3:22))
and He doesn't say it when it is confessed that they have eaten, but after He pronounces judgement, when Adam changes the name of Woman to Eve. Genesis 3:22-24 speaks of 'the man' in singular, not plural.
the right interpretation fits the text. the right interpretation fits with what God says, not what Satan says.