SHE is the mother of Christ....This “logic” is a bit of a stretch.”
Christ is the Body of the Church. No stretch at all. Mary is the Mother of God. Many Protestants call that a stretch too - thereby denying Christ’s divinity even if unintentionally.
Mother of Christ....right?
A woman born as a sinner as you and I....right?
In need of salvation as you and I....right?
“Mother of Christ....right?”
Christ is God....right?
“A woman born as a sinner as you and I....right?”
Nope.
“In need of salvation as you and I....right?”
Yes, but she was saved at the moment of her conception unlike you and I. Her Divine Son gave her a great gift of grace from the beginning. He saved her from sin from her beginning. You and I are saved by Christ differently for we have already sinned.