### 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_
try:
        response = invoke_rest_api_integration_backend(
            invocation_context, invocation_context.integration
        )
        invocation_context.response = response
        response = apply_response_parameters(invocation_context)
        return response
    except Exception as e:
        msg = f"Error invoking integration for API Gateway ID '{invocation_context.api_id}': {e}"
        LOG.exception(msg)
        return make_error_response(msg, 400)
def invoke_rest_api_integration_backend(
    invocation_context: ApiInvocationContext, integration: Dict
):
    
    invocation_path = invocation_context.path_with_query_string
    method = invocation_context.method
    path = invocation_context.path
    data = invocation_context.data
    headers = invocation_context.headers
    api_id = invocation_context.api_id
    stage = invocation_context.stage
    resource_path = invocation_context.resource_path
    response_templates = invocation_context.response_templates