Sitecore CMS Logout not working due to conflicting Authentication Controller

Introduction

Sitecore CMS Logout will throw Javascript error due to multiple controller named 'Authentication'

Sitecore Logs
10344 02:57:52 ERROR Application error.
Exception: System.InvalidOperationException
Message: Multiple types were found that match the controller named 'Authentication'. This can happen if the route that services this request ('sitecore/shell/api/sitecore/{controller}/{action}') does not specify namespaces to search for a controller that matches the request. If this is the case, register this route by calling an overload of the 'MapRoute' method that takes a 'namespaces' parameter.

The request for 'Authentication' has found the following matching controllers:
Sitecore.Controllers.AuthenticationController
MyWebsite.MyArea.Controllers.Api.AuthenticationController
Source: System.Web.Mvc
   at System.Web.Mvc.DefaultControllerFactory.GetControllerTypeWithinNamespaces(RouteBase route, String controllerName, HashSet`1 namespaces)
   at System.Web.Mvc.DefaultControllerFactory.GetControllerType(RequestContext requestContext, String controllerName)
   at System.Web.Mvc.DefaultControllerFactory.System.Web.Mvc.IControllerFactory.GetControllerSessionBehavior(RequestContext requestContext, String controllerName)
   at System.Web.Mvc.MvcRouteHandler.GetHttpHandler(RequestContext requestContext)
   at Sitecore.Mvc.Routing.RouteHandlerWrapper.GetHttpHandler(RequestContext requestContext)
   at System.Web.Routing.UrlRoutingModule.PostResolveRequestCache(HttpContextBase context)
   at System.Web.HttpApplication.SyncEventExecutionStep.System.Web.HttpApplication.IExecutionStep.Execute()
   at System.Web.HttpApplication.ExecuteStep(IExecutionStep step, Boolean& completedSynchronously)


Resolution

1. Either rename your custom controller from Authentication to something Account to avoid sitecore conflict.
2. Else apply below Maproute.

public override void RegisterArea(AreaRegistrationContext context) 
       {           
           context.MapRoute(
            "SCAuth",
              "sitecore/shell/api/sitecore/{controller}/{action}",
              new { controller = "Authentication", action = "Index" },
              new[] { "Sitecore.Controllers" });
 
 
       }

Reference:
https://sitecore.stackexchange.com/questions/201/how-to-override-replace-the-default-sitecore-authentication-controller