feat(stability): unify readiness and recovery

backend/Program.cs

@@ -1,4 +1,5 @@
 using Nexus.Api.Extensions;
+using Nexus.Api.Http;
 using System.Reflection;
 
 var builder = WebApplication.CreateBuilder(args);
@@ -20,11 +21,13 @@ builder.Services.AddNexusSwagger();
 builder.Services.AddNexusDatabase(builder.Configuration);
 builder.Services.AddNexusHttpClients(builder.Configuration);
 builder.Services.AddNexusApplicationServices(
-    includeHostedServices: !isOpenApiGeneration);
+    includeHostedServices: !isOpenApiGeneration,
+    includeMcp: !isOpenApiGeneration);
 builder.Services.AddNexusRepositories();
 builder.Services.AddNexusHealthChecks(builder.Configuration);
 builder.Services.AddNexusPlatform(builder.Configuration);
-builder.Services.AddControllers();
+builder.Services.AddControllers(options =>
+    options.Filters.Add<NexusProblemDetailsFilter>());
 
 var app = builder.Build();
 
@@ -40,7 +43,8 @@ if (!isOpenApiGeneration)
 // --- Middleware Pipeline ---
 app.UseNexusPipeline(app.Environment);
 
-app.MapMcp("/mcp");
+if (!isOpenApiGeneration)
+    app.MapMcp("/mcp");
 app.MapOpenApi("/openapi/{documentName}.json");
 app.MapControllers();
 app.Run();