King David said - “A sinner was I conceived…”
Yes, we are born with the sin of Adam. I’m not sure why you didn’t consult and/or accept the teachings from the Catechism regarding this. For reference, here they are:
*402 All men are implicated in Adam’s sin, as St. Paul affirms: “By one man’s disobedience many (that is, all men) were made sinners”: "sin came into the world through one man and death through sin, and so death spread to all men because all men sinned."289 The Apostle contrasts the universality of sin and death with the universality of salvation in Christ. "Then as one man’s trespass led to condemnation for all men, so one man’s act of righteousness leads to acquittal and life for all men."290
403 Following St. Paul, the Church has always taught that the overwhelming misery which oppresses men and their inclination towards evil and death cannot be understood apart from their connection with Adam’s sin and the fact that he has transmitted to us a sin with which we are all born afflicted, a sin which is the “death of the soul”.291 Because of this certainty of faith, the Church baptizes for the remission of sins even tiny infants who have not committed personal sin.292
404 How did the sin of Adam become the sin of all his descendants? The whole human race is in Adam “as one body of one man”.293 By this “unity of the human race” all men are implicated in Adam’s sin, as all are implicated in Christ’s justice. Still, the transmission of original sin is a mystery that we cannot fully understand. But we do know by Revelation that Adam had received original holiness and justice not for himself alone, but for all human nature. By yielding to the tempter, Adam and Eve committed a personal sin, but this sin affected the human nature that they would then transmit in a fallen state.294 It is a sin which will be transmitted by propagation to all mankind, that is, by the transmission of a human nature deprived of original holiness and justice. And that is why original sin is called “sin” only in an analogical sense: it is a sin “contracted” and not “committed” - a state and not an act.
405 Although it is proper to each individual,295 original sin does not have the character of a personal fault in any of Adam’s descendants. It is a deprivation of original holiness and justice, but human nature has not been totally corrupted: it is wounded in the natural powers proper to it, subject to ignorance, suffering and the dominion of death, and inclined to sin - an inclination to evil that is called concupiscence". Baptism, by imparting the life of Christ’s grace, erases original sin and turns a man back towards God, but the consequences for nature, weakened and inclined to evil, persist in man and summon him to spiritual battle.*
My own personal theory, which can probably never be taught definitively, is that had we been there we would have fallen to the tempter as well. Even in the womb, original sin is by itself capable of allowing us to reject God in a way that only he could understand. That is why we cannot definitively say that any unbaptized baby is saved. (However, we have good reason to trust and hope in God’s mercy and love in those situations.)
It’s a tough issue to grasp that no one will ever completely understand on this side. The apologists on this site will be a great resource for you if you have further questions. May God illumine you understanding!
