Mussels in Pistou Broth

Name: Mussels in Pistou Broth
Ingredients: 6 garlic cloves, roughly chopped; 6 cups fresh basil leaves; ½ cup extra-virgin olive oil, divided; 3 large shallots, halved lengthwise and thinly sliced; 3 pounds mussels, scrubbed, debearded and well rinsed; 1 cup dry white wine; ¾ cup heavy cream; 1 tablespoon fresh lemon juice; 1 tablespoon anise-flavored liqueur (preferably pernod); 1¼ teaspoons kosher salt; Good bread for serving