Seared Salmon with Pistachio Pesto

Name: Seared Salmon with Pistachio Pesto
Ingredients: 1 (2-pound) center-cut, skin-on salmon fillet (about 1 3/4 inches thick); 1/4 teaspoon black pepper; 3/4 teaspoon kosher salt , divided; 1 cup packed fresh mint leaves , chopped; 1/4 cup toasted unsalted pistachios (such as Santa Barbara Pistachio Company), chopped; 3 tablespoons parmesan cheese; 1 small jalapeño chile or red Fresno chile, seeded and finely chopped (about 1 tablespoon); 1 tablespoon grated lime zest (from 2 limes); 1 (1-inch) piece fresh ginger , peeled and finely grated (about 1 teaspoon); 1 medium garlic clove , finely grated (about 1/2 teaspoon); 3/4 cup plus 1 tablespoon extra-virgin olive oil , divided