Does Figma Sites support smart animate?

My goal is to integrate an animated carousel into my Figma Site, but I haven’t gotten it to work. I made a working carousel in a design file, using Smart Animate to animate the transitions between slides, but once I copy and pasted into my Figma Site, it stopped working in the preview and when published. I also remade the carousel in the Site file, but that didn’t change anything. 

The structure of my carousel is identical to the one in this video: