I see high-point flatness, but I'm not sure I see wear. I'll go with 62, and stay tuned to learn more.
I love St. Gaudens double eagles. I use the leading edge of the eagles wings and the high points of Lady Liberty's chest and left knee for signs of wear. I don't see any but darned if she isn't baggy. I am in at MS60.
I voted AU-53. I see wear on the "L" in Liberty as well as some of the stars on the obverse (mainly towards the bottom), and then the "IN" in "IN GOD WE TRUST" on the reverse. But perhaps the photos are not great, and/or there is distortion from the slab, and it's much better in hand.
IMO 7 days is a little long to wait for the results - not sure how many people will view your thread and vote after 2 or 3 days.
I think there's minimal wear, but I don't think she graded AU. I learned that with regards to bag marks, the TPGs are more lenient with $20 coins than with smaller denominations. So my guess is MS62.
I think that's due to weak strike. You'll have to look at the high points of the design. See picture below - different year, but the high points are identical:
A lot of high-point flatness on the obverse that looks like wear. But..nothing like that on the reverse. You'd see both if it had been circulated. I'm on MS-62.
First impression was AU-something, maybe 53. After reading the comment on being a weak strike, and considering grading leniency for a hint of wear, I would go more in the area of MS-61.