Finely chop the onion and garlic, then slice the mushrooms.
In a medium saucepan, melt the butter over medium heat. Add the chopped onion and sauté until translucent.
Add the garlic and sliced mushrooms to the saucepan. Cook until the mushrooms soften and release their liquid.
Pour in the white wine and cook until most of the wine has evaporated.
Stir in the heavy cream and tarragon. Reduce the heat to low and simmer for 5-7 minutes, or until the sauce has thickened slightly.
Season with salt and pepper to taste. Adjust the seasoning as needed.
Serve the tarragon mushroom sauce warm over grilled meats, pasta, or rice. Leftovers can be stored in an airtight container in the refrigerator for 2-3 days.
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