Searching for a three-sided naval battle

Is there a historical example of a three-sided naval battle in which one fleet mopped up the survivors of two others?

No definite example is identified; the sixteenth-century Dutch wars and some British-French actions against pirates are offered only as possible parallels.

A viewer asks for an example of two navies fighting while a third force arrives to finish the surviving fleet. No definite case comes to mind, although the variety of naval history makes such an event plausible. The sixteenth-century Dutch wars are offered as a possible parallel because rival admiralties created shifting multi-sided contests. Pirate actions involving British and French forces provide another tentative comparison, but neither example is presented as a firm identification.