David,
There is no way to spontaneously cause the Metadata Template to change. You would have to Ingest folders (hopefully each game is in its own folder) separately, modifying the template between folder ingests.
If both games are in one folder, then you could browse the card, select the images from the first game, use Ingest from Selection with the first Metadata Template, and then select the images from the second game and repeat the process with an updated Metadata Template.
HTH,
-Kirk