cPanel only runs on EL-family distros: CentOS, Red Hat and Amazon Linux. You don't need any more specific information than that.
Get a refund and move. There's a long list of hosts that don't charge for SSL: Web Hosting who support Let's Encrypt . Even if you paid up for 2 years, you should still be able to get a refund.
What you're looking for (a cPanel add-on) doesn't exist because you're not the server administrator.
What you can try is something like this: Simple guide to add TLS cert to cpanel · acmesh-official/acme.sh Wiki · GitHub which would auto-renew and install for you. But it depends how constrained your SSH environment is.