SDA vs. Catholic definition of the Trinity (Godhead)

 ...baptizing them in the name of the Father,

and of the Son,

and of the Holy Ghost:

Mark 28:19

The SDA view of the Trinity/Godhead is 3 distinct, equal beings who work together as one in total unity.
The Catholic Trinity is NOT the same concept...

"The accusation that the Seventh-Day Adventist Church holds the same doctrinal view concerning the Godhead as the Catholic Church. This has been spurred on by the unwise decision to use the term of ‘trinity’ to title the Godhead in our 28 fundamental beliefs. So Let us address this error first...

According to the International Catholic University in its study of the Trinity Doctrine, the Catholic Doctrine is that yes there are three co-eternal persons, the Father, the Son and the Holy Ghost. But it is in the manner of the explanation of these three that we see the doctrine. From their course study online it states:
“The Catholic Creeds teach us that there are two internal divine processions: the generation of the Son and the procession of the Holy Spirit (which, we shall see, is called "spiration") . . . What does this mean? It means that from all eternity the Father generates the Son, and the Father along with the Son "breathes forth" the Holy Spirit. Thus there are two internal divine processions which give rise to three divine Persons.”
“It is a dogma of the Catholic faith that the second divine Person proceeds from the first divine Person by an act of generation and therefore is related to him as Son to Father. The Nicene Creed says that Jesus Christ is "the only- begotten Son of God, born of the Father before all time." The 

Catholic Trinity view

Athanasian Creed of the fifth-sixth century says:
"The Son is not made or created, but he is generated by the Father alone."
The most extensive declaration of the Roman Catholic Church's teaching on the Trinity was made at the Eleventh Synod of Toledo in Spain (675 AD). A portion of that statement may be helpful as well in understanding their definition of God.
“We confess and we believe that the holy and indescribable Trinity, Father, Son, and Holy Spirit is one only God in His nature, a single substance, a single nature, a single majesty and power.”
Notice that they are of the “same substance” and that Jesus only has life because the father “generated” Him and the Holy Spirit’s existence is wholly dependent on the Father and the Son, as we read here:
“Since the Holy Spirit proceeds by an act of will of the Father and the Son, it should be clear that he does not proceed as a perfect image through generation. So the Holy Spirit is not a Son of God; only the second Person of the Trinity can be called "Son," as we have already explained. For St. John calls him "the only-begotten Son" of the Father. Qppropriately, then, the fifth century Athanasian Creed says: "The Holy Spirit is not made nor created nor generated, but proceeds from the Father and the Son."
Theologians have given a name to that type of proceeding, calling it "spiration," from the noun "spirit" which, of course, means "breath." . . ." AmazingDiscoveries