To get Kali to move to the lab requires all of these to be true:
- Kali must be hyper-sized
- You must have met Tiffany and completed each of the trials at least once.
- Tiffany cannot currently be stuck inside a feeding chamber (either wait before trying to deal with Cici, or choose to help Tiffany when the choice needs to be made)
- You must let Tiffany know about Kali's situation and then encounter Kali again at work for her to be moved
Also note that once Tiffany is placed inside the feeding chamber you can no longer experiment on yourself or Kali at the lab ever again.
I haven't parsed out all the possibilities with the vore route for Cici, but the sandwich ending might change slightly between the wg option and the vore option. However, it might not considering the Sandwich ending files are only in the wg folder, so I would have to test it again to make sure.