### 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_
bucket, object_key = uri_match.group("bucket", "object")
                LOG.debug("Getting request for bucket %s object %s", bucket, object_key)
                try:
                    object = s3.get_object(Bucket=bucket, Key=object_key)
                except s3.exceptions.NoSuchKey:
                    msg = "Object %s not found" % object_key
                    LOG.debug(msg)
                    return make_error_response(msg, 404)
                headers = aws_stack.mock_aws_request_headers(service="s3")
                if object.get("ContentType"):
                    headers["Content-Type"] = object["ContentType"]
                
                response = request_response_stream(stream=object["Body"], headers=headers)
                return response
            else:
                msg = "Request URI does not match s3 specifications"
                LOG.warning(msg)
                return make_error_response(msg, 400)
        if method == "POST":
            if uri.startswith("arn:aws:apigateway:") and ":sqs:path" in uri:
                template = integration["requestTemplates"][APPLICATION_JSON]
                account_id, queue = uri.split("/")[-2:]
                region_name = uri.split(":")[3]
                if "GetQueueUrl" in template or "CreateQueue" in template:
                    new_request = (
                        f"{aws_stack.render_velocity_template(template, data)}&QueueName={queue}"
                    )
                else:
                    queue_url = f"{config.get_edge_url()}/{account_id}/{queue}"
                    new_request = (