Possible to replace keyboard keys removed (possibly by cat entropy) cleanly from E6510 keyboard?

When I looked at my E6510 laptop this morning, I found three keycaps (Tab, Shift, and backslash) sitting on the floor. They seemed to be cleanly removed (i can't imagine how my cat managed to do this).  i didn't see any obvious damage on the keyboard or the removed keycaps. When I look at the keycaps that were removed, when I hold them key side up, there are two pieces of white plastic that are half-attached to each other and hang a bit below the keycap.  On the keyboard key, there's a white/clear soft button a few millimeters wide which I can push to get the keyboard key (which is how I'm able to write this).

I found a video on the internet that shows attaching replacement Dell laptop keyboard keys, but they were attaching the two pieces of white plastic first, and then snapping the keycap on top of those.

Is it possible to remove the two pieces of white plastic from the keycap without damaging it, and then following the procedure I saw in the video?

Are there detailed instructions somewhere that show how I can do this?

Ironically, my warranty expired two weeks ago (my cat must have known that).