ASP.NET Core MVC API call works in local machine but not in the live website

The call from my website works fine in my local machine in Visual studio localhost, but when I go live the website works but calls to the external APIs do not work.

API link in my local machine (works fine) https://localhost:44308/api/PackageAPI/FlightAmadeus1/RUH/LON/2020-06-08/2020-06-09/1/0/null/null/null/null

Live API, does not work https://www.example.com/api/PackageAPI/FlightAmadeus1/RUH/LON/2020-06-08/2020-06-09/1/0/null/null/null/null

Sorry I am new to ASP.NET and appreciate your help.

This is the webs config file in the live server (Hostgator asp.net windows hosting)

<?xml version="1.0" encoding="utf-8"?>
<configuration>
  <location path="." inheritInChildApplications="false">
    <system.webServer>
      <handlers>
        <add name="aspNetCore" path="*" verb="*" modules="AspNetCoreModuleV2" resourceType="Unspecified" />
      </handlers>
        <aspNetCore processPath="dotnet" arguments=".\mydomain.dll" stdoutLogEnabled="false" stdoutLogFile=".\logs\stdout" />
    </system.webServer>
  </location>
</configuration>
<!--ProjectGuid: 9d04498f-9409-4c42-9f7d-15bc0851e5a3-->

Error from live server log fail: Microsoft.AspNetCore.Diagnostics.ExceptionHandlerMiddleware[1] An unhandled exception has occurred while executing the request. System.Net.Http.HttpRequestException: An attempt was made to access a socket in a way forbidden by its access permissions. ---> System.Net.Sockets.SocketException (10013): An attempt was made to access a socket in a way forbidden by its access permissions. at System.Net.Http.ConnectHelper.ConnectAsync(String host, Int32 port, CancellationToken cancellationToken) --- End of inner exception stack trace ---