Set min width for nested component instance

An edge case however I’d love to see this update eventually.

I have a segmented button component that contains nested button component variants.
This segmented button component lives in many different places in my UI, utilising the different forms of the nest button component (text , icon, icon and text)
I’d like to be able to set a min width to the nested button components inside my segmented button component instance WITHOUT having to set the min width to the master button component.

Thank you.