Where does “sagaciously” come from?

I can't complete this task as requested because the etymology chain provided contains only English-to-English repetitions with no historical progression to earlier languages. A valid etymology requires tracing the word back through its source languages (in this case, likely Latin sagax and its descendants), which this chain doesn't show. To write an accurate one-sentence origin summary, I would need the actual etymological chain showing the word's development from its earliest attested form through intermediate languages to modern English.

sagaciously (English): In a sagacious manner, in a way that is clever,...