How to sign out user from Blazor server-side app that uses Negotiate

Question

I have a Blazor server-side application that uses .NET core 3.1. It uses Microsoft.AspNetCore.Authentication.Negotiate to authenticate user through Windows Credentials/Active Directory.

The issue I have is how to sign out user. After various research I found out that certain external authentication methods do not support sign out. For example Windows/AD does not need to be explicitly signed out. The only thing you need to do is clean identity and Claims principles locally in application. That is what I am having trouble with. The user also signs out automatically when you close browser.

I am using this middle ware to authenticate using Negotiate and am trying to clean claims of user during sign out. But it doesn't work.

using System;
using System.Collections.Generic;
using System.Linq;
using System.Threading.Tasks;
using Microsoft.AspNetCore.Builder;
using Microsoft.AspNetCore.Http;
using Microsoft.AspNetCore.Authentication;

namespace Test.Middleware
{
    internal class ValidateAuthentication : IMiddleware
    {
        public async Task InvokeAsync(HttpContext context, RequestDelegate next)
        {
            try
            {
                if (context.User.Identity.IsAuthenticated)
                {
                    await next(context);
                }
                else
                {
                    await context.ChallengeAsync("Negotiate");
                }
            }
            catch(InvalidOperationException) // this is for Windows/Negotiate sign out
            {
                context.User = new System.Security.Claims.ClaimsPrincipal();
            }
        }
    }
}

Here is my configuration of services

public void ConfigureServices(IServiceCollection services)
{
      services.AddRazorPages();
      services.AddServerSideBlazor();
      services.AddElasticsearch(Configuration);
      services.AddHttpContextAccessor();
      services.AddScoped<ValidateAuthentication>();
      services.AddAuthentication(NegotiateDefaults.AuthenticationScheme).AddNegotiate();
}

Expected result is for user to be signed out. But the actual result is user remains signed in.