You can do better, Ted.
To be fair, they do say you should "find a quiet corner" to put the mat down in. But what if your table isn't near a corner? Do you just strand your kid near some other patrons and hope no one will think that's weird? Sure, you have "explained clearly" to your spawn why they have to stay on the Naughty Mat, but how about explaining this bizarre behavior to the rest of the people in the restaurant. While the site says that you shouldn't "feel embarrassed" because "other people will be grateful you're not allowing bad behavior to continue in public," they don't mention how everyone will feel about having an abandoned child stand really still and stare at them for a few minutes.
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This is how Village Of The Damned children are made.