Attach a Custom Lambda Authorizer to existing ApiGW Resource Method

[msciortino]

Hi,
I have a stack which defines a RestApi with a Proxy Resource on a certain path.
In another stack I have a Cognito UserPool and I've created a Custom Authorizer Lambda and I want to attach it to existing ProxyResource of the first stack RestApi.

I'm able to retrieve the aws_apigateway.ProxyResource by using ProxyResource.from_resource_attributes method but I don't understand how to add my Custom Authorizer to its default_integration.

Is this possible in any way?