Heat 2 tbsp olive oil in a skillet over medium-high heat. Sear fillets 3–4 minutes per side, until golden and just cooked through. Remove and set aside.
Add remaining olive oil and garlic to the skillet, cooking 30 seconds until fragrant.
Pour in broth and lemon juice, scraping up any browned bits.
Stir in capers and simmer 2–3 minutes to reduce slightly.
Return fish to the skillet briefly to warm through, or spoon the sauce directly over the plated fillets.