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1
Pat chicken breasts dry with paper towels; season generously with Maldon salt and black pepper on both sides.
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2
Heat olive oil in large sauté pan over medium-high heat until oil shimmers; place chicken skin-side down and cook 6–7 minutes without moving until skin renders golden and crispy.
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3
Flip chicken; cook 4–5 minutes until internal temperature reaches 63°C (carry-over cooking to 65°C); transfer to warm plate.
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4
Reduce heat to medium; add minced garlic and sun-dried tomatoes to pan, cook 1 minute until fragrant; deglaze with white wine, scraping up fond, and reduce by half.
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5
Pour in cream; add olives and torn basil; simmer 2 minutes until sauce coats back of spoon.
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6
Remove from heat; whisk in cold butter cubes until emulsified and silky; taste and adjust seasoning.
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7
Nestle chicken back into pan, spooning sauce over top; cook 2 minutes at low simmer to warm through.
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8
Serve chicken with sauce spooned over; accompany with crusty bread to soak up cream.