"Take heed to yourselves, and to the whole flock, wherein the Holy Ghost hath placed you bishops, to rule the church of God, which he hath purchased with his own blood." - Act 20:28 (Douay-Rheims)
Christ's blood was God's blood.
>> Then, how was the curse of Adam circumvented in Mary’s lineage?<<<
God said so?
Show me where God said so.
>> Christ’s blood was God’s blood. <<
Christ’s blood was His own, and he was God. But Christ was fully human, as well as fully divine. See, this is the very trap that the Church Fathers sought to combat by declaring Mary, “Theotokos” (Mother of God): Christ was fully human. His blood was human blood.
And this, then, the “fascination” of Catholics with Mary: Once we have been regenerated by Baptism, so we are no longer under the stain of original sin, we can be pure. We need not be divine to be pure, so we who are regenerated have no excuse when we sin.
In turn, this is why Protestantism persistently rejects such a notion: without recourse to the blessings of purgatory, there is no hope of purification for those who die sinful. And so Protestantism sees sanctification as merely a means of imputation of righteousness for all sins, past present and future. Although Catholicism rejected Sola Fidelis on the grounds that it leads to the sin of presumption and the heresy of antinomianism, Catholicism does accept Sola Gratis. But it also holds that in addition to the imputation of righteousness for all past sins, sanctification is also a process of removing concupiscence, the irresistible tendency to commit new sin.
The soul which has had concupiscence completely removed in this life is rare, hence the celebration of Saints, in addition to mere saints. Since antiquity, Few popes have been Saints; several have been wicked. The warriors of Catholicism, like Jan Sobiesky and Juan of Austria (each of whom saved Western Civilization), are largely unknown to the average Catholic. Far better known are the Saints, like Francis of Assissi, Benedict of Nursia, Ignatius of Loyola, Therese of Lisieux, Catherine of Siena. The names like Constantine aren’t celebrated in mass, even though everyone knows of him... but rather Agatha and Perpetua, Linus and Sixtus. And the first such Saint, who was pure from the start, was Jesus’ Mom.
“What would Jesus Do?” Honor his mother and father. And so we honor our own mother and father, but we also honor Mary and Joseph. And we give special honor to Mary, who was preserved from all sin.