Mushroom Conserva

Name: Mushroom Conserva
Ingredients: 1 cup plus 2 tablespoons extra-virgin olive oil, divided; 6 ounces mixed fresh brown and white beech mushrooms (see Note), bases trimmed; 6 ounces small fresh cremini mushrooms, halved (or quartered, if large) (about 3 cups); 6 ounces fresh oyster mushrooms, trimmed and torn into bite-size pieces (about 2 cups); 2 ½ teaspoons kosher salt, divided; 2 teaspoons fennel seeds; .66666 cup finely chopped shallots or red onion; ½ cup Champagne vinegar; 2 tablespoons fresh thyme leaves; 2 garlic cloves, minced; 2 teaspoons granulated sugar; ½ teaspoon crushed red pepper