feature request: Enabling binary support using the API Gateway REST API

### Is there an existing issue for this?

- [X] I have searched the existing issues

### Feature description

Enabling binary support using the API Gateway REST API

https://docs.aws.amazon.com/apigateway/latest/developerguide/api-gateway-payload-encodings-configure-with-control-service-api.html

### 🧑‍💻 Implementation

_No response_

### Anything else?

_No response_