A TLS error using cohttp-lwt and cohttp-lwt-unix. How can I debug it further?

cohttp-lwt-tls-error.ml

(* Paste this source file in to your toplevel *)

(* There is some attribute of the TLS connection to remoteok.io that causes
   a fatal Tls_alert (HANDSHAKE_FAILURE). `curl` has no trouble connecting to
  this same host. I assume there's a difference between the defaults used by
  `Cohttp_lwt_unix.Client.get` and those used by`curl`.
   site.

   How can I debug it further? I've tried to establish a TLS connection directly with Tls_lwt.connect but it's too complex to use without more reading.
*)

#require "lwt";;
#require "cohttp-lwt";;
#require "cohttp-lwt-unix";;

let body =
  let open Lwt in
  try
    (* google.com, for example, has no errors and the response is valid
    Cohttp_lwt_unix.Client.get (Uri.of_string "https://google.com") >>= fun (resp,body) ->
    *)
    Cohttp_lwt_unix.Client.get (Uri.of_string "https://remoteok.io/api") >>= fun (resp,body) ->
      Cohttp_lwt.Body.to_string body >|= fun body ->
      body
  with
  (* This attempt to catch and print the exception fails. I assume this is because it is FATAL and causes the program to exit immediately before this logic can run *)
  | Tls_lwt.Tls_alert e ->
    print_endline (Tls.Packet.alert_type_to_string e);
    exit 1
;;

let body = Lwt_main.run body;;

(* toplevel output *)
(*
Exception:
Tls_lwt.Tls_alert
 Tls.Packet.HANDSHAKE_FAILURE.
Raised at file "src/core/lwt.ml", line 3008, characters 20-29
Called from file "src/unix/lwt_main.ml", line42, characters 8-18
Called from file "//toplevel//", line 1, characters 11-28
Called from file "toplevel/toploop.ml", line 180, characters 17-56
*)

(* I also tried using `cohttp-curl-lwt` but received the same error *)