Switch between multiple Clients Design Systems

Hello,

We have a whitelabeled platform for which we create wireframes in Figma. Each one of our client has his own colors/logo (= design system). Each of these design systems is implemented as specific “file” in Figma, with the same structure (color variables,…)

I would like to implement a “toggle” available on each new wireframe file, to allow to apply the client design systems to the same wireframes to previsualise the results.

Example:

I have create a wireframe. I would like to see it with colors of client A, then switch to colors of client B “in one click” (via a toggle or selector,…)

How to implement this?
Thank you!