Prepare the ingredients: finely chop the fresh tarragon and chili peppers. For a milder sauce, remove the seeds from the chili peppers.
In a medium saucepan, heat the olive oil over medium heat. Add the chopped chili peppers and sauté for 1-2 minutes, until fragrant.
Pour in the orange juice and apple juice, then stir in the honey and white wine vinegar. Mix well until the honey is completely dissolved.
Add the chopped tarragon and simmer the sauce over low heat for 10-15 minutes, or until slightly thickened and the flavors have melded.
Season with salt and black pepper to taste. For a thicker consistency, continue to simmer for a few more minutes, or use an immersion blender for a smoother texture.
Let the finished sauce cool before serving with roasted meats, grilled vegetables, or use as a salad dressing. Store in the refrigerator for 3-4 days.
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