Does a cheap marketplace logo do the job?
No, a logo from a shop is not enough: it does not know your door and it may already be on another venue. It is useful only as a warning of what you do not want, and the mark is drawn for the cup and the glass you already have.
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Search the drawing you were offered and see if it is already somewhere else. The same mark shows up on a bar in another city and on yours. The mark drawn for this door, with a test on the cup.