Olive Oil-Poached Bacalhau And Golden Potatoes

Ingredients

• 1/2 pound kosher salt
• 1/2 pound coarse sea salt
• 1 1/2 pound 1 1/2-inch-thick whole cod fillet
• 16 small yukon gold potatoes
• extra-virgin olive oil, to taste
• 2 cloves garlic, halved
• 7 sprigs thyme
• 4 sprigs rosemary, snipped into 2-inch pieces
• 3 fresh california bay leaves, notches torn every 1/2 inch
• kosher salt and freshly ground white pepper, to taste
• 5 spring onions, thin outer purple layers removed
• 1 tablespoon unsalted butter
• 2 tablespoons extra-virgin olive oil, plus more to taste
• 1 lemon wedge
• 2 tablespoons parsley leaves, torn
• 1/2 teaspoon lemon thyme leaves
• 5 pitted kalamata olives, quartered lengthwise
• 1/2 teaspoon smoked sweet paprika
• fleur de sel, to taste
• fig vinegar, to taste