attach lambda authorizer to http API

Hi team,

I want to create an API gw lambda authorizer and attach it to the HTTP API

this is the piece of code I did :

// create api gw authorizer
    const apiGwAuthorizer = new HttpLambdaAuthorizer(
      "ApiGwLambdaAuthorizer",
      myLambdaFuncAuth,
      {
        responseTypes: [HttpLambdaResponseType.SIMPLE], 
        identitySource: ["$request.header.my-header"],
        resultsCacheTtl: Duration.seconds(300),
      }
    );

    //attach the authorizer to the ANY route
    myhttpapi.addRoutes({
      integration: new HttpLambdaIntegration(
        "authorizer-lambda-integration",
        authorizerLambda
      ),
      path: "/ANY /{proxy+}",
      authorizer: apiGwAuthorizer ,
    });

but when I deploy the CDK this authorizer created but it's not associated with the API GW

the API GW is passed as parameter from other stack in this stack

Not sure what I miss here, is it because the route 'ANY /{proxy+}' already exists?