Grilled Porterhouse Steak With Parmesan Butter

Ingredients

• ¼ cup olive oil
• 7 garlic cloves, finely grated on a Microplane
• 1 Tbsp. finely chopped fresh thyme leaves
• 1 Tbsp. Diamond Crystal salt or 1¾ tsp. Morton kosher salt
• 2½ tsp. freshly ground black pepper, divided
• 1 tsp. finely chopped fresh rosemary leaves
• 1 (2 lb.) porterhouse steak (about 2" thick), preferably prime or as well-marbled as you can find
• Vegetable oil (for grill)
• 6 Tbsp. unsalted butter, at room temperature
• 1 Tbsp. plus 1 tsp. finely grated Parmesan cheese
• 2 drained anchovy fillets, finely chopped
• 2 tsp. paprika (sweet or hot)
• 1 tsp. Dijon mustard
• 1 tsp. Worcestershire sauce
• ½ tsp. vinegar-based hot sauce

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