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1
Make the herb butter. Combine all the butter, herbs and lemon juice ingredients in a medium large bowl, and, using a rubber spatula, mix until well combined. Season with salt, pepper, and cayenne.
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2
On a work surface, spread out a piece of plastic wrap, about 10 inches long. Put the herb butter across the bottom center of the plastic wrap, and form into a log-like shape, about 4 inches long. Fold the bottom edge of the plastic wrap over the butter and roll the enclosed butter forward until completely wrapped, to form a tube about 1 1/2 inches in diameter. Twist the ends together, like a party favor, and freeze until very firm.
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3
Prepare the chicken. On a work surface, place 1 breast half between 2 layers of plastic wrap or wax paper and, using a meat-tenderizing mallet, pound to a 1/4-inch thickness. Repeat with the remaining chicken.
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4
Unwrap the butter and cut lengthwise into four equal pieces. Lay out each breast half and season both sides assertively with salt and pepper. Place 1 piece of butter across the bottom center of each breast. Fold the bottom edge of a breast over the butter, fold in the sides, and roll the just enclosed butter forward until completely wrapped, to form a tight rolled package. Repeat with the remaining breasts.
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5
In a large bowl, whisk together the breadcrumbs, 1 teaspoon salt, and the thyme and season generously with pepper.
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6
Place the flour and eggs in separate flat bottomed bowls or lipped plates. Working with one chicken roll at a time, dredge it in the flour, dip in the egg, and roll in the breadcrumb mixture. Shake off the excess. Transfer to a parchment paper-lined plate. Repeat with the remaining chicken. Refrigerate for at least 2 hours and up to 12.
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7
Bake at 375 for 30-40 minutes.
