Trigger buttons stuck in the back panel

Hi guys. Sorry if this is dumb. I was trying to fix my D-Pad (cleaned it, used a pencil, etc.), but then I screwed something up during the reassembly. I saw two springs fall off, and I knew they were from the triggers. I've found a guide on how to put the springs back on the triggers, but I have no idea how to actually remove the triggers. In every guide that I found the triggers are attached to the front panel, while for some weird reason I have them hanging in the back panel like shown on the video. And I can't figure out how to remove them from there. I have this gut feeling that the tiny plastic holders will just break if I try to push them through the holes. What do I do?