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1
Heat oil in a large, heavy-bottomed pot over medium-high heat; render andouille 4 minutes until fat releases, then add chicken and sear 5 minutes until opaque at edges.
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2
Add onion, celery, and bell pepper; cook 4 minutes, stirring occasionally, until softened and aromatics release.
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3
Stir in tomato paste and thyme, cook 2 minutes; add rice and toast 2 minutes, stirring constantly.
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4
Deglaze with stock and tomatoes, scraping the bottom; bring to a boil, then reduce heat to low, cover, and simmer 15 minutes.
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5
Fold in shrimp, season with salt and Cayenne; cover and cook 5 minutes until rice is tender and shrimp are opaque.
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6
Remove from heat, rest 3 minutes; finish with a pinch of filé powder and serve in shallow bowls.