To add the user’s email address in the REST API response, register an additional field to the user
object and add the email address:
register_rest_field(
'user',
'user_email',
[
'get_callback' => static function (array $user): string {
return get_userdata($user['id'])->user_email;
},
]
);
Please note, however, that this is strongly discouraged because anyone can then see the email addresses if the code is running on a publicly accessible website.