The title pretty much says it all.
On another note, after recording the video, I noticed that the logo looked unnaturally squished. This was the result of inconsistencies between the default pixel aspect of the Adobe After Effects 1080P preset I selected and the pixel aspect ratio of the Adobe Illustrator document. To fix this, simply press CMD- or Ctrl-K to reopen your Composition Settings. Click on the Pixel Aspect Ratio dropdown and select Square Pixels. Press OK on the Composition Settings window and you should be good to go!