Supplemental Battery Powered Light - Wireless Activation with 120v

I'm thinking through what it would take to create a device which can switch a relay to turn on battery powered lighting, and activate when a 120v wall switch is turned on. As an example in our laundry room, I'd like to put some battery powered lighting under a coupe of cabinets, and have them switch on when the ceiling light fixture is turned on with the wall switch. I'm comfortable with the overall premise, meaning the code and switching hardware needed for each side (like sensing the 120

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