how to permanently change the color after the light hits the animation

Question

I'm new to blender, so I need some advice. I would like to create a sheder that permanently changes color when a beam of light hits it. I have created an animation where the object is rotating and the spotlights are static and I would like to change the color wherever the spotlight rays hit.

Thanks for your help.

I don't have any ideas. I've been playing around with shading, but it's getting nowhere.