It would be better to direct readers directly to msys2 instead of mingw because in my experience installing msys2 is easier and more maintainable than pure MinGW installation although this may install more packages I see it better for beginners especially with using mint termianl (msys2 shell) take a look at this link:
https://github.com/orangeduck/BuildYourOwnLisp/blob/e87bca5d07a477ebc51349ecd447c6a9b6e5afba/chapter2_installation.html#L35
http://www.buildyourownlisp.com/chapter2_installation#compiler
It would be better to direct readers directly to msys2 instead of mingw because in my experience installing msys2 is easier and more maintainable than pure MinGW installation although this may install more packages I see it better for beginners especially with using mint termianl (msys2 shell) take a look at this link:
https://www.msys2.org/