I think you're right on this one. I found another element of the obverse design that helps confirm it. I noticed that the three stars from OP's flattened coin have a specific rotation/orientation. The half dime and dime seem to have identical rotation angles for each of the three stars, from the top left star to the middle to bottom right of the three stars the angles are: about 15 degrees to the right, about 30 degrees to the right, and about -20 to -25 degree to the left. The same angles for the half dollar are completely different: about 15 degrees to the left, about 0 degrees (middle rays point straight up and straight down), and about 15 degrees to the right.
I traced the angles for the three stars separately for each coin and made an image overlay to compare each. The half-dime and dime (orange and red lines) are basically right on top of each other, and the half dollar (purple line) goes off on its own. The angles from OP's coin, even with all the distortion that's been done to it, closely match the angles of the dime and half dime in a way that seems unlikely to be coincidence.
Therefore, while the previous "transform" image I posted was helpful, the more accurate ID is either dime or half dime with arrows from one of the corresponding years.
See my demonstration of this below, if you want:
View attachment 1392476