How can I use SEF Advance without Base URL?

Is it possible to use Advance SEF without Base URL?

My project require me to use
$mosConfiig_live_site = '.';

and removing "<base href=\"$mosConfig_live_site/\" /> in frontend.php

The intent of this modification is to use exact same code on multiple URL without touching the code.  (and assuming I have all the Advance SEF license for all URL)

However, by doing the above modification, Advance SEF will break completely... is there any workaround to this?

I appreciate any suggestion very much.  Or if you have attempted anything like this, what was your solution?

Can't do that.
But try to dynamically set the $mosConfiig_live_site:

$mosConfiig_live_site = 'http://' . $_SERVER;

Thank you