Thanks for all the replies! @wt808 was right, the plunger just pulls straight out using a terrifying amount of force for such a flimsy piece of plastic. I was able to desolder the two broken leafs and I have a 0.3mm copper sheet that I am going to try and cut out some replacements. On a side note, I want to meet the person whole came up with the formula for the double sided tape they used on the back of the keyboard. I have no idea how tape that is 10 years older than me is still capable of being that sticky.
Success!
I will update this once I have new new leafs fabricated. Fingers crossed this works.
Thanks again for everybody's help!