I can't find any evidence of an existing Garden City dealer button, which is a shame. I'd take a shot at vectorizing the inlay if two buttons are spoken for. I think it's a closed casino, so we should be clear for using the art.
I started with a 1200 dpi scan of a $20 chip using my 10 year old Epson all in one printer/scanner. I pasted it into a layer in GIMP, and cropped, straigtened, and set the white area to #ffffff. I kept duplicating that layer, isolating individual design components and creating bezier paths using the dithered original as guides. The ink dropper tool with a 9 pixel radius provided a starting point when I picked a solid color for a dithered area. For the border, I just did a quarter of it and mirrored it twice. I can share some more tricks I figured out later.great work! Will you share your process for creating the final artwork?