How does Supabase handle session management when working with Next.JS API routes ?

import { supabase } from '../../../utils/supabaseClient';

export async function POST(req) {
  try {
    const { error: signOutError } = await supabase.auth.signOut();

    if (signOutError) {
      return new Response(
        JSON.stringify({error: signOutError.message}),
        { status: 400 }
      );
    }

    return new Response(JSON.stringify({ message: 'Successful' }), {
      status: 200,
    });
  } catch (err) {
    return new Response(
      JSON.stringify({ message: 'Server Error', error: err.message }),
      { status: 500 }
    );
  }
}