Remix App graphql admin authenticate for endpoint

Shopify Apps
1

How can I make a query to shopify graphql admin if I am using public query from Checkout extension ui?

This code from ui:

const sessionToken = useSessionToken();

.....

const token = await sessionToken.get();

const response = await fetch(`${ appUrl }/api/test?checkoutToken=${ checkoutToken }`, {
  method: "GET",
  headers: {
    "Content-Type": "application/json",
    "Authorization": `Bearer ${ token }`,
  },
});

In remix:

import type { LoaderFunctionArgs } from "@remix-run/node";
import { authenticate } from '../shopify.server';

export async function loader({request}: LoaderFunctionArgs) {

const url = new URL(request.url);
const checkoutToken = url.searchParams.get("checkoutToken");

// don't work, how it can be done?
const admin = await authenticate.public.checkout(request);

const response = await admin.graphql(`
    query {
      orders(first: 1, query: "checkout_token:${ checkoutToken }") {
        edges {
          node {
            id
            createdAt
          }
        }
      }
    }
  `);  

.....

return Response(json({ "data": {...} }));