I recently won this gold 1 dollar coin—from a reputable auction house—and was wondering if it was a genuine piece as dated. I mean, it looks good to me but I wanted some opinions for a few reasons.

diameter: 13mm, weight: 1.56g
Firstly, I’m not very keen on American coins and I don’t even know if restrikes of this coin have been common or not.
Secondly, it was part of a lot consisting of small gold coins, most of them “miniature gold coins” from the Franklin Mint (or so I believe), like these:

And while the lot’s description said it contained 8 coins, only 7 of them were pictured—the mysterious 8th item being the gold dollar in question.
Thirdly, I won the lot for 40 euros. If the gold dollar is a genuine piece, doesn’t that mean I got a lot more than I paid for, bullion value-wise?
As noted above, the diameter, weight and lustre seem to be okay (if a little bit light) and the edge is reeded as it should be, too. Do you think I got lucky or is it a restrike or such?

It is definitely not genuine. It looks off from the start as the portraits lips, cheeks, nose and hair are similar but not quite right.