They really don’t care that much if you had Calculus III etc. in high school. They are looking at your grades, test scores, and ECs.
I tutored a white girl who didn’t have BC calculus and needed a lot of lessons to get As in AB Calculus and a top math level II score. The only place she was outright rejected was MIT. So I would say not having BC Calculus and not being at a top level with math might be a problem for top engineering schools.