I have not sold prints this way, but jewelry a long time ago.
I do not think the store will require that you be a "business" and it is none of their concern. Any income derived here is between you and the IRS. All they need is a written and duly signed document laying out how the sale will be divided. Like you said, you might give them 10%.
Best thing, is go into the store and talk to the owner/manager.
Good luck!
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