I’ve found a solution to my problem myself. Since none of the already existing answers solved the problem, I figured I could best post mine here to help people with similar problems.
The solution:
if($res->have_posts()) {
$id = $mail_res->posts[0]->ID; // blindly assuming there is only 1 post having baz = baz_value
$true_baz = get_post_meta($id, 'baz')[0];
if($true_baz== $baz) {
//success
} else {
//error
}
} else {
//error
}