failed capacitor?

I've got an Allo Shanti dual power supply with a 3amp (dirty) and 1amp (clean) side. The Allo Digione Signature has been giving me grief, and I thought it might be this power supply. I opened up and found some oily residue in there that should not be in there. It's stored pretty far behind stuff on the third shelf down of the hifi rack. I did some poking around, and it's likely a failed capacitor, but I'd love some second opinions before I buy parts and start down this rabbit hole. Any advice or wisdom? thanks!

In one of the pics, you can see my finger smudge on the pcb for reference.
 

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