I ordered a new name badge on Amazon from the same retailer, lasercrafting.com, but I went through the regular buying customizer instead of ordering their pre-configured "GUY" tags. It's the same blue/white color and I chose Verdana as the font (which isn't exact, but pretty close), but I specified 3" x 1.5". Here's a comparison of the rwo:
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Pic of screen worn badge for comparison:
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Not only is the tag now the correct ratio, but the name is closer to the right size too, slightly smaller than the old badge.
There was a small hiccup in the process as they mistakenly sent out another tag just like the old one, with the wrong size, but I messaged and they apologized and sent out the new one right away, no extra charge, didn't even have to return the wrong one. All in all, I'm glad I ordered the new one.