Question

Hello to my teacher, may he live long.
It is commonly accepted by us that the Book of Deuteronomy, like the rest of the Torah, was written word for word from the mouth of the Almighty. But with Deuteronomy, aside from the style, which makes it look like Moses is speaking in the first person, and the name of God is almost always in the third person, there is also explicit proof for this: Rashi says regarding the curses in Leviticus that there it says “your sky shall be iron,” whereas in Deuteronomy it says “your sky shall be bronze,” because Moses had compassion on Israel. That implies that he repeated the curses and then changed them.
Maybe he delivered the speech of most of the Book of Deuteronomy through divine inspiration, and afterward the Holy One, blessed be He, instructed him to write down his own speech?