Custom authentication with Integration testing would not work correctly

I'm using a custom authentication middleware:

public async Task Invoke(HttpContext httpContext, ICatchInfoService catchInfoService)
        {
            StringValues sessionToken;
            httpContext.Request.Headers.TryGetValue("sessionToken", out sessionToken);
            var user = await _userSessionAuthenticateService.Authenticate(sessionToken.FirstOrDefault());

            if (user != null)
            {
                var identity = new ClaimsIdentity("Leancloud");
                identity.AddClaim(new Claim(ClaimTypes.NameIdentifier, user.UserId, ClaimValueTypes.String));
                identity.AddClaim(new Claim(ClaimTypes.Name, user.Username, ClaimValueTypes.String));
                identity.AddClaim(new Claim(UserClaimTypes.Name, user.Name, ClaimValueTypes.String));
                user.Role.ForEach(it => identity.AddClaim(new Claim(ClaimTypes.Role, it, ClaimValueTypes.String)));
                httpContext.User = new ClaimsPrincipal(identity);
            }
            else
            {
                httpContext.User = null;
            }
            await _next(httpContext);
        }

Just check an existence of Http header and set HttpContext.User.

In the controller I used [Authorize] attribute.

It works fine as API server.

But when I add Integration Testing https://docs.asp.net/en/latest/testing/integration-testing.html which call that API, I got the following error:

Test Failed:

Message: No authentication handler is configured to handle the scheme: Automatic.

Result StackTrace:	
at Microsoft.AspNetCore.Http.Authentication.Internal.DefaultAuthenticationManager.<ChallengeAsync>d__12.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.AspNetCore.Mvc.ChallengeResult.<ExecuteResultAsync>d__14.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.AspNetCore.Mvc.Internal.ControllerActionInvoker.<InvokeResultAsync>d__32.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.AspNetCore.Mvc.Internal.ControllerActionInvoker.<InvokeAsync>d__18.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.AspNetCore.Builder.RouterMiddleware.<Invoke>d__4.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at server.Middlewares.LeancloudUserAuthenticationMiddleware.<Invoke>d__4.MoveNext() in C:\code\ServerSharp\src\server\Middlewares\LeancloudUserAuthenticationMiddleware.cs:line 51
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.AspNetCore.Cors.Infrastructure.CorsMiddleware.<Invoke>d__7.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.ApplicationInsights.AspNetCore.ExceptionTrackingMiddleware.<Invoke>d__4.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.AspNetCore.Authentication.AuthenticationMiddleware`1.<Invoke>d__18.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at Microsoft.AspNetCore.Authentication.AuthenticationMiddleware`1.<Invoke>d__18.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.ApplicationInsights.AspNetCore.RequestTrackingMiddleware.<Invoke>d__4.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.AspNetCore.Hosting.Internal.RequestServicesContainerMiddleware.<Invoke>d__3.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.AspNetCore.TestHost.ClientHandler.<>c__DisplayClass3_0.<<SendAsync>b__0>d.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.AspNetCore.TestHost.ClientHandler.<SendAsync>d__3.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at System.Runtime.CompilerServices.ConfiguredTaskAwaitable`1.ConfiguredTaskAwaiter.GetResult()
   at System.Net.Http.HttpClient.<FinishSendAsync>d__58.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at server.test.Controllers.CouponControllerTest.<CreateCoupon>d__3.MoveNext() in C:\code\ServerSharp\test\server.test\Controllers\CouponControllerTest.cs:line 40
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Xunit.Sdk.TestInvoker`1.<>c__DisplayClass46_1.<<InvokeTestMethodAsync>b__1>d.MoveNext() in C:\BuildAgent\work\cb37e9acf085d108\src\xunit.execution\Sdk\Frameworks\Runners\TestInvoker.cs:line 227
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Xunit.Sdk.ExecutionTimer.<AggregateAsync>d__4.MoveNext() in C:\BuildAgent\work\cb37e9acf085d108\src\xunit.execution\Sdk\Frameworks\ExecutionTimer.cs:line 48
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Xunit.Sdk.ExceptionAggregator.<RunAsync>d__9.MoveNext() in C:\BuildAgent\work\cb37e9acf085d108\src\xunit.core\Sdk\ExceptionAggregator.cs:line 90
Result Message:	No authentication handler is configured to handle the scheme: Automatic

    public class CouponControllerTest
    {
        private readonly TestServer _server;
        private readonly HttpClient _client;

        public CouponControllerTest()
        {
            _server = new TestServer(new WebHostBuilder()
                .UseKestrel()
                .UseIISIntegration()
                .UseStartup<Startup>());
            _client = _server.CreateClient();
        }

        [Fact]
        public async Task CreateCoupon()
        {
            var coupon = new Coupon
            {
                CouponKey = "CouponTestKey" + DateTime.UtcNow,
                ReduceMoney = 35,
                LowestPrice = 1000,
                _Constraints = new[] {"LowestPrice"},
                CouponType = CouponType.Reduce
            };
            var res = await _client.PostAsJsonAsync("/manage/coupon", coupon);

        }
    }

This is very similar with https://github.com/aspnet/Identity/issues/846 .

Could any one help to tell me what's the difference between the two way, or what I'm i supposed do to both support API call and integration testing.

Thanks !!