That is correct, but that most certainly makes Jesus neither subservient to Mary nor subordinate to Mary. At the Name of Jesus every knee will bow, in heaven (including Mary's), on earth, and under the earth, and every tongue will confess (including Mary's, as it already has) Lord Jesus Messiah, unto the Glory of Father God.
Being given the unique privilege of holding Him as a babe to nurse and care for never put her in the position of having any authority over Him as a grown person. one Who is not only Man but also Deity all in One Person, which Mary is not, cannot be, and never pretended to be. I would not be surprised to see her horrified at the way ignorant obsequious humans have elevated her despite her real attitude of humility.
But thanks for your agreement in the view of the Genesis 3 passage.
The “she” referred to in Genesis is EVE, in the context of the Garden. Mary is ‘the seed’ of EVE, but it is Messiah Who is spoken of as the seed of Eve. The Catholic magicsteeringthem changed the meaning so that it would exalt Mary the Mother of Jesus. God spoke to EVE, many generations before Mary. In the same way that David is the seed of Abraham, Mary is the seed of EVE and ADAM.