Cut the rabbit into manageable pieces. Season generously with salt and freshly ground black pepper, then lightly dredge in flour.
In a large Dutch oven or pot, heat olive oil and butter over medium-high heat. Brown the rabbit pieces on all sides until golden, then remove and set aside.
In the same pot, sauté the chopped onion, diced carrots, celery, and minced garlic until softened, about 5-7 minutes.
Return the rabbit pieces to the pot. Add the white wine and simmer for 5 minutes, allowing it to reduce slightly.
Pour in the chicken stock and add the fresh thyme and rosemary sprigs. Bring to a boil, then reduce the heat to low.
Cover the pot tightly and let the stew simmer gently for 1.5-2 hours, stirring occasionally, until the rabbit is incredibly tender and the sauce has thickened to a rich consistency.
Taste and adjust the seasoning with additional salt and freshly ground black pepper as needed. Serve hot, garnished with fresh herbs if desired.
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