codeception. How to check the full domain of a cookie?

Question

Software testing

The task is to check the domain (including the 3rd level domain) in a functional test when starting a session with a cookie
. In codeception, FunctionalTester has two methods:
seeCookie($name, [$domain, $path]);
grabCookie($name, [$domain, $path]);
The problem is that codeception (or rather \Codeception\Lib\InnerBrowser::seeCookie()) does not see the difference in domains between 'examle.net', 'www.exmaple.net' or even 'beliberda.example.net', comparing only the second and first level domains.
grabCookie() generally returns only the value of the cookie, without any other parameters.
How can I change this codeception behavior specifically for one test, or how can I get the cookie value without writing bicycles?