Preheat oven to 350ºF/180ºC
Pat dry the breasts with paper towels and score in a crisscross pattern using a sharp knife; generously season the skins with salt and pepper and lightly on the meat side.
In a cold pan, place breasts, skin side down, and then turn the heat on medium-high; cook for 6 to 7 minutes or until the skins are nicely browned.
Flip over and transfer them immediately to the preheated oven. Cook for 10 to 12 minutes or until the internal temperature reads 140ºF.
Meanwhile, warm up the Cognac in a small saucepan over medium-low heat.
In a separate bowl, add Bing cherries and pour in red wine. Stir well and macerate until ready to make the sauce.
Remove the duck from the heat, ignite the warm Cognac and pour it over the breasts. Transfer them to warm serving plates, skin side up while making the sauce.
Skim the fat from the pan and keep it for other recipes – should end up with 1 to 1 ½ tbsp. left in the pan.
Pour in only the liquid from the cherries to the pan using a sieve; keep fruit on the side. Add cherry simple syrup and thyme leaves; stir well.
Bring the mixture to a boil and cook until the liquid has reduced by half, scraping the bottom to dislodge any brown bits.
Add the Bing cherries and Cherry Brandy; cook for 2 minutes. Add the cornstarch mixture and stir until the sauce thickens.
Slice the breasts before pouring the sauce over and garnish with the warm cherries. Serve with rice or potatoes and steamed vegetables.