Help with possible motherboard damage



That electrolytic capacitor looks to be one of the filter caps in the audio section. If the lead broke you'd notice it as noisy audio, maybe hissing or crackling. Those kinds of caps are filled with a dielectric fluid which can leak out over time if the case is compromised, with gradually degrading audio noise, so keep an eye on that area of the board to see if leaking fluid is darkening it over time.

But i agree it looks to be an extremely minor correction and should be good.