How to Make It
In a large pot, combine the wine, olive oil, vinegar, coarsely chopped garlic, mint, thyme, oregano and tarragon and bring to a boil. Reduce the heat to moderate and simmer for 5 minutes. Add 1 tablespoon of kosher salt and 1 teaspoon of pepper and return to a boil. Add the mushrooms and boil over moderately high heat for 2 minutes. With a slotted spoon, transfer the mushrooms to a large bowl. Boil the mushroom cooking liquid over high heat until reduced by one-third, about 10 minutes. Let the cooking liquid cool to room temperature, then season it with salt and pour it over the mushrooms. Cover and refrigerate for at least 2 days or for up to 1 week.
Drain the mushrooms, reserving 1 cup of the marinade. Pour the reserved marinade into a medium saucepan and boil until reduced to 1/3 cup, about 7 minutes. Transfer to a medium bowl and let cool to room temperature. Add the minced garlic and season with salt. Stir in the celery and parsley. Spread the celery on a platter, spoon the marinated mushrooms on top and serve.