Clean seafood: rinse shrimp with lime water, chop lobster meat and reserve shells; set aside.
For shell stock, simmer lobster shells, shrimp shells, thyme, scallions, half the pepper, and butter in 3 cups water until reduced by 2/3. Strain and reserve stock.
In the main pot, heat olive oil and brown sugar over high heat, stirring until amber.
Add pigeon peas, pumpkin, and carrot.
Lower heat to medium and add garlic, scallions, bird’s eye pepper, ginger, coconut milk, and simmer for 1 minute.
Stir in brown rice, green seasoning, salt, remaining pepper, and 2½ cups hot water. Bring to boil, then reduce to simmer and cook covered for 10 minutes.
Add reserved shell stock, cover, and cook 7 minutes.
Add mussels and clams, pressing into liquid. Simmer 3 minutes.
Gently stir in chopped lobster and shrimp, remove from heat, cover, and let rest for 4 minutes.
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Uncover, taste and adjust salt, sprinkle parsley, and squeeze lemon before serving.
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