Sveltekit redirect is not working from server side function

I've got a svelte Header component. In this component there's a logout button. When the button is clicked a function is invoked and this function calls a server side function. In this function I've got a redirect statement that doesn't seem to work.

Here's part of the component (pasting only relevant code):

<script>    /**     * Logs out the current user.     * @returns {Promise<void>}     */    const logout = async () => {        // call to internal API to perform logout.        const response = await fetch("/api/user-logout", {            method: "POST",        });    }</script><header><!-- Logout --><div class="tooltip tooltip-left" data-tip="Log out"><button                        on:click={logout}                        class="relative p-2 text-gray-400 hover:bg-gray-100 hover:text-gray-600 focus:bg-gray-100 focus:text-gray-600 rounded-full"><span class="sr-only">Log out</span><svg aria-hidden="true" class="h-6 w-6" fill="none" stroke="currentColor"                         viewBox="0 0 24 24"><path d="M17 16l4-4m0 0l-4-4m4 4H7m6 4v1a3 3 0 01-3 3H6a3 3 0 01-3-3V7a3 3 0 013-3h4a3 3 0 013 3v1" stroke-linecap="round" stroke-linejoin="round"                              stroke-width="2"/></svg></button></div></header>

Here's api/user-logout/+server.js:

import { redirect } from "@sveltejs/kit";export async function POST({ request, fetch, cookies, event}) {    // remove the auth cookie.    // cookies.delete(AUTH_TOKEN_KEY, { path: '/' });    // redirect user to login page.    throw redirect(302, '/login');}

The above function is being hit for sure as I added some log statements and they are being printed but the redirect never happens.

I also tried using only redirect(302, '/login') as I'm using sveltekit 2.5 but didn't work.

I made it work by returning a response from api/user-logout/+server.js and then using goto in the frontend function:

const logout = async () => {        // call to internal API to perform logout.        const response = await fetch("/api/user-logout", {            method: "POST",        });        if (await response.status == 200) {             await goto("/login")        }    }

It works but I'd rather have the redirect from api/user-logout/+server.js.

What am I missing?