Hi Scott,
Your video is low quality, but I think you drew the talk bubble as a Shape layer. It works almost the same way as the path I did earlier.
- Instead of duplicating the path, duplicate the layer twice.
- Select one of the three layers and make it visible and active. Hide the other two.
- Use the Direct Selection tool to select all of the anchor points on one sub-path and delete it. Repeat for a second subpath, leaving one of the three shapes.
- Repeat for the other two layers: make one layer active and visible; hide the other two layers, delete two shapes,
You should now have each shape on its own layer. The color I added is for clarity only.

Is this what you want?
Jane