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1
Melt 1 tablespoon of the butter in a wide frying pan over medium heat. Add onions, garlic, and tarragon; cook, stirring, for 1 minute. Add shrimp and cook, stirring often, until opaque throughout; cut to test (3 - 4 minutes). Spoon shrimp mixture into a bowl and set aside.
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2
Melt remaining butter in pan over medium heat. Add flour and stir until bubbly. Remove from heat and mix in cream, broth, and vermouth. Increase heat to medium-high and bring to a boil, stirring constantly; set aside.
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3
In a 6-quart pan, cook lasagna in 4 quarts of boiling water just until tender to bite (about 10 minutes); or cook according to package directions. Drain, rinse with cold water until cool, and drain well again. Set aside.
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4
Spoon off any accumulated juices from shrimp mixture; stir juices into sauce.
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5
Line a greased 9 x 13 inch baking dish with a third of the lasagna. Layer with a third each of the sauce, shrimp mixture, crab, and cheese. Repeat, making 2 more layers each of noodles, sauce, shrimp, crab and cheese. Cover. (At this point, you may refrigerate for up to a day)
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6
Bake, covered, in a 350u00b0F oven for 20 minutes. Uncover and continue to bake until golden and bubbly