I'm not seeing a doubled die. No notching or extra thickness on your coin. There's a possibility that die abrasion caused the letters on your coin to look distorted.
That is a very tough DDO to find, both by rarity and by difficulty to see it. I find that the shape of the lower "U" is not acceptable as a marker because too many non-DDO coins have odd-shapes there. Thickness of the vertical bars of the R and "U" are the best way to note a coin for closer examination, and then... The only way I ever have found to be sure is to look at the "U" (and W of WE) with an 8X loupe with the coin turned 90 degrees so you are looking along the top of the letters. In just this way you can see the notching clearly. Even on a straight up high def look through a scope the doubling is very hard to see, for example:
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