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Barron Trump. Chris Kleponis-Pool/Getty Images

Publications such as the Daily Mail and the Washington Examiner are hailing Barron Trump as a fashion icon after reporting that a $30 J. Crew shirt the 11-year-old wore sold out.

“Barron Trump Gets J. Crew Shirt Sold Out WITHIN HOURS,” reads a headline on former Alaska governor Sarah Palin’s website.

That’s not true. The shirt…