### Is there an existing issue for this?

- [X] I have searched the existing issues and read the documentation

### Question

Using a websocket apigatewayv2 in localstack and i need to change the body of the request e.g. add the connectionid, which is something i can do with a HTTP integration on the AWS gateway, however when I try this with localstack i receive the following error "Unsupported integration type "HTTP" for Websocket API ID" and then prints the ID of the API, if this feature is not enabled then how should we test the actual API where the connectionId and other things are added to the request body

### Anything else?

_No response_
pass
class ApiInvocationContext:
    """Represents the context for an incoming API Gateway invocation."""
    
    method: str
    path: str
    data: InvocationPayload
    headers: Dict[str, str]
    
    context: Dict[str, Any]
    
    auth_info: Dict[str, Any]
    
    apigw_version: ApiGatewayVersion
    api_id: str
    stage: str
    region_name: str
    
    resource_path: str
    integration: Dict
    resource: Dict
    
    
    _path_with_query_string: str
    
    response_templates: Dict
    
    response: Response
    def __init__(