Oh, yeah, the woman gets excused. How convenient—the woman was deceived, but Adam did it intentionally...heard that before.
God gave the command to Adam, THEN created Eve. It was Adam's responsibility to pass on that ONE verse correctly to Eve
Eve was aware that God did not want them to eat of the tree and that the penalty for disobeying was death.
The rest of the story paints a pretty naive if not stupid woman who was told by the Serpent (it says nothing about it being Satan) that they will not die and she believed him.
Now, whether Adam was "right there" as you claim, I don't see that anywhere. Even could have brought the fruit to Adam to show him that it was good to eat, and he ate it. Which is why he says to God afterwords: "The woman whom You gave [to be] with me she gave me of the tree; so I ate." [Gen 3:12]
When he saw that nothing happened to Eve, he was deceived by her, because as his God-given companion he believed her more than he believed God, just as Eve believed the Serpent more than her husband, or God!
So, while Adam's in is in blaming God for giving him the woman, and Eve blames the Serpent. That's pretty much the way it is to this day, people blame either God or the "devil" for their deception or stupidity, but never themselves.
Genesis 3:6 6So when the woman saw that the tree was good for food, and that it was a delight to the eyes, and that the tree was to be desired to make one wise, she took of its fruit and ate, and she also gave some to her husband who was with her, and he ate.
Is there something about about the words "her husband who was WITH her" that is too hard for you to understand?