Post your source for asserting that Gabriel became Noah.
There is no scripture anywhere that indicates that Adam had done so, but there is abundant scripture that points to the contrary. He was an angel—a preexistent spirit like all the rest of us—except that he had reached high distinction, a place of importance and prestige; but he was an angel nevertheless.
(Mark E. Petersen, Adam: Who Is He? [Salt Lake City: Deseret Book Co., 1976], 7.)
But, we repeat, he was an angel.
(Mark E. Petersen, Adam: Who Is He? [Salt Lake City:
Deseret Book Co., 1976], 7.)
Said the Prophet: “The Priesthood was first given to Adam; he obtained the First Presidency, and held the keys of it from generation to generation. He obtained it in the Creation, before the world was formed. . . . He had dominion given him over every living creature. He is Michael the Archangel, spoken of in the Scriptures. Then to Noah, who is Gabriel; he stands next in authority to Adam in the Priesthood; he was called of God to this office, and was the father of all living this day, and to him was given the dominion.” (Teachings, p. 157.)
(Mark E. Petersen, Adam: Who Is He? [Salt Lake City: Deseret Book Co., 1976], 8.)