.NET: AG-UI Docs samples (#2194)

* Add AG-UI Blazor sample

* Add AG-UI getting started samples

* Cleanups

* Update the dojo samples

* cleanups

* Fix readme

* Address feedback and further cleanups

* Fix build

* Missing fixes

dotnet/samples/AGUIWebChat/Client/Program.cs

@@ -0,0 +1,34 @@
+// Copyright (c) Microsoft. All rights reserved.
+
+using AGUIWebChatClient.Components;
+using Microsoft.Agents.AI.AGUI;
+
+WebApplicationBuilder builder = WebApplication.CreateBuilder(args);
+
+// Add services to the container.
+builder.Services.AddRazorComponents()
+    .AddInteractiveServerComponents();
+
+string serverUrl = builder.Configuration["SERVER_URL"] ?? "http://localhost:5100";
+
+builder.Services.AddHttpClient("aguiserver", httpClient => httpClient.BaseAddress = new Uri(serverUrl));
+
+builder.Services.AddChatClient(sp => new AGUIChatClient(
+    sp.GetRequiredService<IHttpClientFactory>().CreateClient("aguiserver"), "ag-ui"));
+
+WebApplication app = builder.Build();
+
+// Configure the HTTP request pipeline.
+if (!app.Environment.IsDevelopment())
+{
+    app.UseExceptionHandler("/Error", createScopeForErrors: true);
+    app.UseHsts();
+}
+
+app.UseHttpsRedirection();
+app.UseAntiforgery();
+app.MapStaticAssets();
+app.MapRazorComponents<App>()
+    .AddInteractiveServerRenderMode();
+
+app.Run();