I am trying to set a cookie with name of auth, includes user's id signed with jwt. I dont really see the auth cookie on Chrome when I hit http://localhost:5000/ I only see these two;

But the thing is, when I hit the same route with Postman, I get auth cookie in the console.
By the way I console the cookie with req.cookies
And there is my server.js;
import express from 'express';
import dotenv from 'dotenv';
import connectDB from './utils/db.js';
import { notFound, errorHandler } from './middleware/errorMiddleware.js';
const app = express();
dotenv.config();
import cookieParser from 'cookie-parser';
import userRoutes from './routes/userRoutes.js';
import cors from 'cors';
app.use(cors());
connectDB();
app.use(cookieParser());
app.use(express.json());
app.get('/', (req, res) => {
res.send('hi');
console.log(req.cookies);
});
app.use('/api/users', userRoutes);
app.use(notFound);
app.use(errorHandler);
const PORT = process.env.PORT || 5000;
app.listen(PORT, () => console.log('Server is listening on PORT 5000'));
And here is my register function where I first set the cookie;
// desc Register User
// route /api/users/register
// access Public
const register = asyncHandler(async (req, res) => {
let { name, email, password } = req.body;
const isUserExists = await User.findOne({ email });
if (isUserExists) {
res.status(400);
throw new Error('Invalid e-mail or password');
}
const salt = await bcrypt.genSalt(10);
password = await bcrypt.hash(password, salt);
const user = await User.create({
name,
email,
password,
});
const token = generateToken(user._id);
res.cookie('auth', token, {
httpOnly: false,
maxAge: 1000 * 60 * 60 * 24 * 3, // 3 dayss
});
res.status(201);
res.json({
_id: user._id,
name: user.name,
email: user.email,
isAdmin: user.isAdmin,
});
});