You're right, we didn't inherit original sin (inherited sin) from Eve. We inherited from Adam. Romans 5:12.
And there was no free will in the garden. The tree that was forbidden Adam and Eve was the tree of knowledge of good and evil. (Gnosis). It's fruit would make Adam and Eve like unto God. To have knowledge (gnosis) of good and evil. Therefore, they didn't possess the intellect to comprehend the ultimatum God ascribed to that particular tree when he commanded them not to eat of it. The didn't know what, "don't" meant, because they didn't have the capacity to understand what good (compliance) and evil(non-compliance) were. They were innocent as newborn babies.
If you told a newborn baby not to touch something and they did, would you evict them from your house forever? And lay curse upon all babies they'd have in future because they touched something you told them not to, once?
Scripture says thou shalt not tempt the Lord thy God.
But God, being omniscient, planted the one tree that would condemn man kind for eternity in what can not be paradise when it contained a fruited tree bearing fruit of evil upon it.
Where was the forgiveness? For the newborn humans. God empowered that fruit to alter the innocent consciousness of the first born. And then his decree condemned them and us for all time that he, being omniscient, not only see's coming. But predestined before he created the world that would contain that garden.