Make French toast sticks: Preheat oven to 350°F (180°C). Preheat a large baking sheet with parchment paper and nonstick spray. Cut each Texas toast in three lengthwise.
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Stir lightly beaten eggs, whole milk, heavy cream, and vanilla in a shallow baking dish. Combine ½ teaspoon ground cinnamon and 1 tablespoon granulated sugar in a small bowl. Eggs, cinnamon, sugar.
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Quickly and thoroughly egg-dip each bread slice. Drain and spread on a large baking sheet. Toss after 10 minutes. Bake french toast sticks for 6–10 minutes. Post-baking removal.
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Using a pastry brush, I coat each stick with cinnamon sugar and melted butter. Flip sticks and butter lightly. The cinnamon and sugar should be on a large plate.
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Coat french toast sticks in cinnamon sugar. Leftover cinnamon sugar? Sprinkle or dip the sticks again before serving.