Image in comments. I have these weird LED lights. I have Googled "LED light disk" and the closest thing I can find is an LED chip light, but I'm not sure that this is the same thing. I posted in a local Facebook group and no one will tell me what it is called. I got the answers: "Those are easy, just change it." "You don't need a ballast" (I don't know what that is referring to and didn't ask in my original post), and "You'll need to replace the whole light.

I'm particularly concerned because there is a small cylinder with wires attached to the paper light disk. I have no experience with wiring and find this intimidating. Doubly so, because many things in this house are either old or were initially done in a shitty, jerry-rigged way. Almost every handyman I have hired since buying it have made comments like "Whoever did this work/installed this didn't know what they were doing" and, my favorite, "I can't believe your dishwasher didn't catch on fire."