It worked after I’ve put 2016.2993-android.tgz release of liveBuild plugin
as %appdata%\Solar2DPlugins\com.coronalabs\plugin.liveBuild\android\data.tgz
Also, the directory %appdata%\Solar2DPlugins\Caches\Solar2Directory\coronalabs\com.coronalabs\plugin.liveBuild\android is created but stays empty.
I know this was described in the other thread, but I lost a lot of time trying different approaches; the correct solution is easily missed.