import { Certificate } from "aws-cdk-lib/aws-certificatemanager";

new StaticSite(this, "Site", {
  path: "path/to/src",
  customDomain: {
    domainName: "<http://domain.com|domain.com>",
    alternateNames: ["<http://domain2.com|domain2.com>", "<http://domain3.com|domain3.com>"],
    certificate: // a certificate that covers all 3 domains
  },
});