### 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_
request_context = {
        "resourcePath": resource_path or relative_path,
        "apiId": api_id,
        "domainPrefix": api_id,
        "domainName": domain_name,
        "accountId": account_id,
        "resourceId": resource_id,
        "requestId": long_uid(),
        "identity": {
            "accountId": account_id,
            "sourceIp": source_ip,
            "userAgent": headers.get("User-Agent"),
        },
        "httpMethod": method,
        "protocol": "HTTP/1.1",
        "requestTime": pytz.utc.localize(datetime.datetime.utcnow()).strftime(
            REQUEST_TIME_DATE_FORMAT
        ),
        "requestTimeEpoch": int(time.time() * 1000),
    }
    
    auth_context = invocation_context.auth_context
    if auth_context:
        request_context["authorizer"] = auth_context
    request_context["identity"].update(invocation_context.auth_identity or {})
    if not is_test_invoke_method(method, path):
        request_context["path"] = (f"/{stage}" if stage else "") + relative_path
        request_context["stage"] = stage
    return request_context
def apply_request_response_templates(