Auto redirect after session expire, but only for one user

In functions.php add:

<?php

function ps_redirect_after_logout(){
     // get the current user's id
     $current_user_id = get_current_user_id();
     // Get Paul
     $paul = get_user_by('login', 'Paul');
     $paulsid = $paul->ID;
     // check if current user is Paul
     if($current_user_id == $paulsid) {

         wp_redirect('https://www.example.club/logout-page/');
         exit();
         
     }
}
add_action('wp_logout','ps_redirect_after_logout');

I haven’t tested this code, but something like this should be the way to go.