"Eve didn't claim God told her. You got that wrong. That is what 3:3 says. She mentions God's command but doesn't say that God told her personally."
god told her, hence she states "but God did say" Genesis 3:3. The only time the command is set out is in Genesis 2:16-17, Eve is not present as she has not been created yet, thus she cannot even mention god's command, due to the man only existing when it is given.
"Adam was responsible"
Adam is not responsible for Eve. Adam is only responsible to himself as he is the one who received the command. Responsibility is with your god who did not give Eve the command at the same time as Adam, due not existing.
"Romans 5:12 Therefore, just as sin entered the world through one MAN"
Sin entered the world through one woman, not man, as the woman sinned first.