I just opened mine up. That's much cleaner than mine. An only repairable part is the capacitor which is located at the top of your image behind a shiny metal. To get to it, you'll have to remove the switch, and 3 bolts around it including the ground and it will come out.
Do you see any charred connection/wire?
Modern laptop power supplies are switching type. Regulated and isolated. I'd think you should do fine with that but without seeing (and measuring ) it, I can't tell for absolutely sure. If you give me a couple of days, I can see my junk box and have anything hanging around here. Hate for you to spend $30 for something like that.
Are you in US so I can ship it to you IF I find it?