Wings of Goddess install

Hello all got a quick question. I first bought FFXI: Vanadiel Collection 08 and my Xbox and games were stolen from me after some time. After replacing the 'box, I was able to get my hands on the one with just RoZ, CoP, and ToAU, which of course is missing Wings of Goddess. After installing it, WoG was not highlighted so my question is: Is there a way that I can reinstall WoG on the box WITHOUT deleting the entire game and reinstalling the whole game again?

For the windoze version, the installation disc has a separate installer for each expansion, so you would only need to install WotG, not the whole game itself.

I really don't know how they are installed on Xbox though... :/