God the Father was revealed as the Father, not the Mother. What that signifies is open to discussion, but that is the revelation.

God the Son, who was incarnated in time and space, preexisted the creation. So, to speak of “before the incarnation” is really meaningless in this context.

Since the Eucharist is the anamnesis of the Last Supper and the Sacrifice of Calvary, it is the Incarnate Son, the High Priest, who is relevant as a human, as a male.

That excises TOB. You do not need the Catechism, we have 2,000 years of uninterrupted consistent interpretation and a comprehensive theology of the Sacrament of the Eucharist which shows in every communion - non-Chaldean, Chaldean, Orthodox, and Catholic - the same.

The difference between the priesthood of the Old Law and the New is that the priesthood of the Old was ineffective, while that of the New is completely effective, that of Old in the order of Levi, that of the new in the order of Melchizedek promised to the lineage of David.