Matewis: And I know the pain all too well of not being able to find a cool song you heard in a game :P
I actually went ahead and recorded the music myself directly from the game with Audacity. It worked quite well, now I have a good quality audio file of it (just for the sake of it, I have it as a flac, ogg and wav now).
I was going to make a simple video of it with a still picture and post it to Youtube... but for some reason I have hard time trying to find some free Movie Maker replacement (Movie Maker was discontinued in January I think). I need to ask about that in another thread.
EDIT: And of course it didn't occur to me until now to check the FO:T installation directories... and yep, the music is there in a mp3 file, so I wouldn't have had to record it at all. It is this one:
C:\GOG Games\Fallout Tactics\core\music\battle\MX_BA_REA.MP3
Oh well, at least I now know how to use Audacity for other games where the music isn't as easily available...