Pour wine, brandy, and sugar into 2 wide-mouth, 1-qt. jars, dividing evenly. Attach lids and vigorously shake until sugar dissolves, 3 minutes. Separate apricots and add half to each jar.
Set aside at least 2 weeks, shaking every few days; if needed, push fruit into liquid to cover.
Strain liqueur, bottle, and chill up to 3 months; shake before serving. Save fruit to make Chocolate-Dipped Apricots.
*Find at well-stocked grocery stores and andysorchard.com.