Should event: APIevent have client cookies on SSR?

import { type APIEvent } from "@solidjs/start/server/types";
import { app } from "./elysia";

const handler = async (event: APIEvent) => {
  return await app.handle(event.request);
};

export const GET = handler;
export const POST = handler;
export const PUT = handler;
export const PATCH = handler;
export const DELETE = handler;

 Headers {
  "connection": "keep-alive",
  "user-agent": "Bun/1.0.26",
  "accept": "*/*",
  "host": "localhost:3000",
  "accept-encoding": "gzip, deflate, br",
}