The Shinola Argonite 1069 is assembled in USA with parts manufactured in Switzerland. The movement is based on Ronda’s caliber 1069.
According to the Ronda website, there are two versions of this movement: a Swiss parts version with 2 jewels and nickel plated finish, and a 6 jewel version with gold plated finish. Interestingly, the Shinola version which is made with Swiss parts, but not Swiss made, has 6 jewels.
As Bruce pointed out in the comments below, the chart above shows that this movement can take a 321 watch battery, but the photos of the actual movement show a 364/363 battery. The 321 is a standard battery. The 364 is a high capacity battery. The 321 should get you around 25 months, whereas the 364 can stretch the lifespan out to 34 months. Typically, most brands just put a 321 in the base Ronda 1069 movement, but it appears that Shinola went with the longer lasting 364/363.
Replacement prices for the Ronda 1069 base movement were found in the range of $12.95 – $18.95