The dispenser assembly is secured by very strong clips, making it very difficult to remove. Take note of the clip location examples shown in the photos:

Right side clips

Top clips

Left side clips (Note, the dispenser is being held upside down for the photo, so the upper left side clips are at the bottom of the photo.)

During disassembly, you may break some of these clips. If you do, don't worry; the assembly does not need all the clips to be properly secured.