I have an OpenVPN server running in an AWS VPC and I can ping my servers over the tunnel via their private IP, so from that perspective it's working.
Some of our servers have public DNS names server.example.io and I'd like OpenVPN clients to be able to reach the servers using their DNS names over the tunnels. For example, one of our servers has a UI and rather than typing the private IP of the server in the browser, they should be able to reach the server over the tunnel using the public domain name.
Is this possible? We are using the OpenVPN Access Server AMI.