If private DNS is enabled, use edge-optimized custom domain names or regional custom domain names to connect to your public APIs.
Important: Resources in your VPC that try to connect to your public APIs must have internet connectivity. Also, when configuring DNS records for a regional custom domain name, you must use A type alias records. However, with edge-optimized custom domain names, you can use either A type alias records or CNAME records. For more information, see Set Up a Custom Domain Name for an API in API Gateway.