Mince the garlic cloves. Rinse and finely chop the fresh tarragon.
In a medium saucepan, melt the butter over medium heat. Add the minced garlic and sauté for 1-2 minutes, until fragrant.
Pour in the white wine and cook for 2-3 minutes, allowing the alcohol to evaporate and the liquid to reduce slightly.
Stir in the heavy cream and Dijon mustard. Reduce heat to low and simmer for 5-7 minutes, or until the sauce has thickened to your liking.
Stir in the chopped tarragon and lemon juice. Season with salt and pepper to taste.
Let it simmer for another 1-2 minutes to allow the flavors to meld. Remove from heat and serve immediately over chicken, fish, or pasta.
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