Should you redesign the cups and the textiles?
No, do not order new cups or aprons until the mark is closed and tested on one. Yes, once that test can be read on a real cup: then the batch is printed, not before.
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Bring an empty cup and an apron of the ones you use. A box of cups is printed and a month later the mark changes its lettering. A test on a real cup and, if it can be read, the file for the batch.