**Both Adam and Eve tried to blame everyone but themselves.**
The Catholic Church teaches that Adam and Eve were responsible for their own sin. I think that is what you were trying to say also? Correct?
Have you read the Scott Hahn book "Lord Have Mercy"? He traces the sacrament of confession from its OT roots starting with Adam and Eve. Very compelling reading.
Gen 3:12-13 12 And the man said, The woman whom thou gavest to be with me, she gave me of the tree, and I did eat. 13 And the LORD God said unto the woman, What is this that thou hast done? And the woman said, The serpent beguiled me, and I did eat.
Sounds like the blame game to me.