I think your coin is normal. Comparing it to a couple that are for sale on ebay, I see that they are very nearly identical. It might be the result of a worn die but I don't see doubling.
Thanks for the feedback and I'm also wondering what this coin would likely be graded at? It looks like it's in MS condition and just unfortunately has a scratch on Libertys face.
There's chance it's a touch of Machine Doubling which is quite common. When you say "Doubled Die" it means the die itself contains the doubling and is much more uncommon.
If not for the obverse gouge your coin might pull a 61 or 62 grade even though it looks AU++ to me. As-is I'd be happy with an AU55 result.
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