Well thank you on the distinctions.
Regarding Adam, it is too long an explanation to cite this morning here but I think he was both created (the middle part of the triplet in 1:27) and formed in chapter two. “Yatsar” is the word used in chapter two, not bara as you point out. It is not “ex-nilo” but rather something changing form- dust to man.
There are some ancient stories from India which claimed Adam had a mother and father, but I don’t see where the text, in two or elsewhere, allows for that. Adam returns to the dust from which he came.
Adam is supposed to be a copy of the heavenly man in Genesis 1 and 2, thus he is both created (as man) and formed (simply changing form form pre-exiting substance as did the second Person of the trinity). So that does not fit with Adam having a mother, and his “father” was Yahweh-Elohim even as the 2nd Person of the Trinity has a “Father” in the first Person of the Trinity.
Christ, the second Adam, was born of a woman. But that had to do with the promise of a Seed in which the Heavenly Man would assume a nature like ours in order to crush the serpent’s head. Being born of a woman was a part of His coming down from His heavenly position. It was a “loophole” in that He could be of the line of Adam even though Adam was not directly His sire, but rather came through Eve who was taken out of Adam. It sort of wrecks the picture if the first Adam was also born of a woman.
Can God form a man from a pile of dust? Of course. Jesus said “God can turn these stones into children of Abraham.” What is the reason to doubt that is what happened here?