Okay, here's I ended up putting it together. Create a Layer Object for each image. If you've got three logos you're working with, create three Layer Objects.
Within each Layer Object, create a quad with your team logo on it, as big as it needs to be.
Now create a new material. I have one that I use called an "Alpha Black," which is my masking object.
Create the objects you need to mask off the object accordingly, and put them in the same layer object. You have now masked off the area you don't need and are keeping the area you do.
Someone probably has a better way of doing this. I've never needed to cut a hole within a scene to reveal something in that same scene. I've only ever needed to reveal it through layers on a framebuffer. There's probably a way to create the material to do the same thing with a single object revealing the inside instead of multiple objects masking the outside.
#XPression