Place tuna in a shallow non-aluminum pan and add all remaining ingredients, turning steaks to coat. Cover and refrigerate, turning at least once or twice to marinate.
Bring fish to room temperature. Grill on a preheated charcoal fire; or broil in a preheated broiler on a rach placed 4-inches from heat. Baste once or twice and turn until golden, about 5 minutes.
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