It has a seam but I can’t find any markings
Is the seam on the finish and over the lip?
The seam ends where my fingers are in the last picture
That's more interesting. The question is how does that seem end. It appears to be covered by paper or tin foil. If it ends abruptly right at your fingers and there is no fading out below that, you'd want to know if there is a horizontal seam right at that point. Them it could be a machine made with a refired finish.
If it fades, you likely have a tooled finish which is older. Are there any subtle horizontal tooling marks on the finish?
The seam is very distinct below the neck. As it ascends up the neck it fades (smooths out). It looks to terminate under the foil (it appears it is slightly raised by the seam). At the bottom (that it sits in there is bubbles in the glass). The seam is inconsistent in how much it is raised along the sides. Some places it is almost smooth while others it is very distinct it is a seam