Why is setAuth not working within a useEffect hook?

Question

I am attempting to create a ProtectedRoutes component, however, I can't seem to get the auth state to update.

It should check if there is a cookie stored, and if so, set auth as true. Then if auth is true, it redirects to the auth component, otherwise to the landing/login page.

The auth page always redirects back to the landing page. The state is never updating to true. I can't figure out why.

ProtectedRoutes.js

import React, { Component, useState, useEffect } from "react";
import { Route, Navigate } from "react-router-dom";
import Cookies from "universal-cookie";
const cookies = new Cookies();


export default function ProtectedRoutes({component: Component, ...rest}) {
    const [auth, setAuth] = useState(false);
    //get cookie from browser if logged in
    const token = cookies.get("TOKEN");

    useEffect(() => {
        if (token) {
            setAuth(true);
            console.log(auth);
        }
    },[auth, token]);
    
    return auth ? <Component /> : <Navigate to="/" />
}

App.js

import { Container, Col, Row } from "react-bootstrap";
import "./App.css";
import Register from "./Register";
import Login from "./Login";
import { Routes, Route } from "react-router-dom";
import Account from "./Account";
import FreeComponent from "./FreeComponent";
import AuthComponent from "./AuthComponent";
import Private from "./ProtectedRoutes";
import ProtectedRoutes from "./ProtectedRoutes";

function App() {
  return (
    <Container>
      <Row>
        <Col className="text-center">
          <h1 className="header">React Authentication Tutorial</h1>

          <section id="navigation">
            <a href="/">Home</a>
            <a href="/free">Free Component</a>
            <a href="/auth">Auth Component</a>
          </section>
        </Col>
      </Row>
      
      {/* Routes */ }
      <Routes>
        <Route exact path="/" element={ <Account /> } />
        <Route exact path="/free" element={ <FreeComponent /> } />
        <Route path="/auth" element={<ProtectedRoutes component={AuthComponent} />} />
      </Routes>
    </Container>
  );
}

export default App;

AuthComponent.js

import React from 'react';

export default function AuthComponent() {
    return (
        <div>
            <h1 className="text-center">Auth Component</h1>
        </div>
    );
}