ToH Wing Uncarding...

[The Legendary Joe]

Okay, so I know that when you're upgrading your wings to the next Generation, you can have the card that's socketed in them to be removed. But My wings are already at the highest generation available. Would I need to work on a new pair of wings, or would I just need to get enough points for my alleigiance gear next ToH to remove the card that's currently in them?