In a large bowl, mix together ricotta and eggs; season with salt and pepper. Gradually sift in 3/4 cup flour. Add mint and knead mixture until a dough forms. Turn dough out onto work surface and knead a few more times until smooth; form dough into a ball, cover with plastic wrap, and let stand 30 minutes.
Sprinkle work surface with remaining 2 tablespoons flour. Turn dough out onto floured work surface and knead flour into dough. Roll out dough until it is 1/4 inch thick. Using a sharp knife, cut dough into 1-inch-wide strips. Run dough through a cavatelli maker or cut each strip into 1-by-1/2-inch pieces.
Bring a large pot of water to a boil. Generously salt boiling water and return to a boil. Add cavatelli to boiling water and cook until tender and floats to the surface, about 1 1/2 minutes. Drain and transfer cavatelli to a baking sheet. Drizzle with olive oil and let cool.
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