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“Except for Mary, according to many Catholics.”

God gives graces through Mary. Grace would only pass through Mary from God to us.

In Octobri Mense Adventante, Pope Leo XIII wrote:

Nothing at all of that very great treasury of all grace that the Lord brought us—for “grace and truth came through Jesus Christ” [John 1:17]—nothing is imparted to us except through Mary, since God so wills.

Pope Pius XI in Ingravescentibus Malis:

We know that all things are imparted to us from God the greatest and best through the hands of the Mother of God. https://www.ewtn.com/faith/teachings/marya4a.htm

Lumen Gentium, from Vatican II:

The maternal duty of Mary toward men in no way obscures or diminishes this unique mediation of Christ but rather shows its power. For all the saving influences of the Blessed Virgin on men originate not from some inner necessity but from the divine pleasure. They flow from the superabundance of the merits of Christ, rest on his mediation, depend entirely on it, and draw all their power from it. In no way do they impede the immediate union of the faithful with Christ. Rather, they foster this union. (LG 60)

St. Ephraem (373) said: “With the Mediator, you are the Mediatrix of the entire world” (S. Ephraem, Syri opera graeca et latine, ed., Assemani, v. 3, Romae, pp. 525, 528-9, 532).

St. Cyril of Alexandria, in one of the greatest Marian sermons of antiquity, said: “Hail Mary Theotokos, venerable treasure of the whole world...it is you through whom the Holy Trinity is glorified and adored,...through whom the tempter, the devil is cast down from heaven, through whom the fallen creature is raised up to heaven, through whom all creation, once imprisoned by idolatry, has reached knowledge of the truth, through whom holy baptism has come to believers...through whom nations are brought to repentance....” (Hom. in Deiparam, PG 65, p.681).

Antipater of Bostra, another Father of the Council of Ephesus (AD 431), wrote: “Hail you who acceptably intercede as a Mediatrix for mankind.”

St. Bernard of Clairvaux stated: “God has willed that we should have nothing which would not pass through the hands of Mary” (Hom. III in vig. nativit., n. 10, PL 183, 100).