Some SMD components are marked. You'll need a microscope: $15 on ebay or use a laser point lens, a bobby pin and your smartphone camera (ref: reddit.com)
However, such a serious failure usually means that other components have also failed, which either caused the capacitor to fail in the first place, or, were damaged when the capacitor failed.
You are kind of screwed because presumably on such an old card it is well out of warranty, your best bet it to sell it for parts on eBay, someone might still want it (believe it or not) and pay a handful of $ for it, although as that card was never very popular with either gamers or miners your chances here are not great either.
However, such a serious failure usually means that other components have also failed, which either caused the capacitor to fail in the first place, or, were damaged when the capacitor failed.
You are kind of screwed because presumably on such an old card it is well out of warranty, your best bet it to sell it for parts on eBay, someone might still want it (believe it or not) and pay a handful of $ for it, although as that card was never very popular with either gamers or miners your chances here are not great either.