There is nothing special about CAE to consider. Copy CAE files to a folder which you serve from Nginx.
Ensure that the MIME types are configured.
There are many tutorials in the web how to serve a static web site, e.g. https://medium.com/@jasonrigden/how-to-host-a-static-website-with-nginx-8b2dd0c5b301
Adapt Settings
See Adapt Settings