Possible lead
From The Lost Media Wiki
I found out that the server that hosts files for all their websites (http://media.thirddaygames.com/) not only still exists, but it is an open bucket, which means that all files on the server are listed on the link above. Unfortunately nothing related to the game itself seems to be there, but files for the website appear to exist on that server, so it may be possible to recreate at least part of the game if the right files are there. If not, it is still a cool archive of all their other games.