Authorize with specific JWT scheme and [Authorize(...)] attribute

Describe the bug
I've added an MCP server to my API server. I need it to work with specific JWT tokens, configured differently from JWT tokens used by other API controllers. I've created 2 different JWT Schemes for "APItoken" and "MCPToken". But authoriztion does not work unless I force "MCPToken" scheme to be the default in Services.AddAuthentication(...).

To Reproduce

In Startup.cs:

// Server declaration
builder.Services.AddMcpServer()
  .WithHttpTransport(options =>
  {
    options.PerSessionExecutionContext = false;
    options.Stateless = true;
  })
  .AddAuthorizationFilters()
  .WithToolsFromAssembly();

// Authentication schemes
var authBuilder = builder.Services.AddAuthentication();
authBuilder.AddJwtBearer("APItoken", options => { ... });
authBuilder.AddJwtBearer("MCPtoken", options => { ... });

In MCP server definition:

[McpServerToolType]
[Authorize(AuthenticationSchemes = "MCPtoken")]
public class McpTools
{
 ...
}

Expected behavior
Tools list call should return the defined tool when proper authorization bearer header is set.

Additional context
The only way to make it work is to add "MCPtoken" scheme as default:

var authBuilder = builder.Services.AddAuthentication("MCPtoken");

Other things I've tried:

• Adding"AddMcp()" to authBuilder and setting ForwardAuthenticate to "MCPtoken"
• Creating a policy with AddAuthenticationSchemes("MCPtoken") and requiring the policy with [Authorize(Policy = ...)]

Beginne mit der Reproduktion in Startup.cs unter Verwendung von AddMcpServer(), AddAuthorizationFilters() und den JWT-Schemata APItoken und MCPtoken. Verfolge, wie der MCP-HTTP-Transport die Authentifizierungsschemata für [Authorize(AuthenticationSchemes = "MCPtoken")] auswählt, und überprüfe anschließend, dass tools/list mit dem MCP-Token erfolgreich ist, ohne MCPtoken zum anwendungsweiten Standard zu machen.