These figures don't come apart easily, it varies but there is often glue along with the screws so you can risk damage by forcing things apart.
Also, odds are the soldering has broken, not the led burning out (if that's what you mean by "blown off"). If it is the actual bulb its a bit harder as it is buried inside the wrist peg with glue. The soldering could be touched up if you have the willingness and equipment
This is an arm off Starboost, Sideshow replaced it as the repulsor was out so I took the old one apart. It had screws and glue.
The bulb is in there
With some needlenose pliers and the willingness to break it I could pull the bulb out, it had some glue but not a ton
The reason this one didn't work is clear, the solder failed. The peg can jostle when removing the hands, so I imagine these breaks can happen pretty easily
You can see the glue residue on the sides. The issue I've found with these figures is the amount of glue can vary wildly, even in the same figure. I took apart a broken WM4 torso and one part covering the screws on one side popped off cleanly and the other side ripped the plastic in half, it was covered in glue. If that was my only part a routine disassembly can lead to a completely ruined figure
So if you're lucky it might be fixable, but it could also lead to worse damage