Hi,
by design thinking do you mean a process of user centered design that starts with empathetic research (loosely based in the social sciences), that leads to a cross-functional team developing concepts towards production?
I’d suggest you first ask each school if that’s how they teach design, who teaches the research methods and where the other functions get involved in a school projects completion.
second, read up on the death of design thinking and review the answers you got with a healthy skepticism (knowing that each school said what they think will get you to apply)
third, realize that while you can understand the entire process, it’s much too complex to be good at all of it. choose where in that process your interests lie and excel there.
best of luck at school