Cut the dill pickle into fine pieces, press them between paper towels, and reserve them for kneading. The pieces should feel damp rather than drippy, with no loose brine collecting underneath.
Measure 1/2 cup of the lukewarm pickle juice into a cup and scatter the yeast and 1 teaspoon sugar over it, allowing about 10 minutes for proofing. A frothy surface indicates activity before the mixture goes into the dough.
Use the mixer's paddle on low speed to blend the proofed mixture with the oil, remaining tablespoon of sugar, 2 cups flour, remaining pickle juice, and salt, then incorporate the last cup of flour in 1/4-cup additions. The mixture should gather into dough as the flour absorbs the liquid.
Fit the dough hook, work at medium speed, and knead in the dried dill and blotted pickle for 6 to 10 minutes. Look for an elastic dough that catches slightly at the bowl's bottom while repeatedly pulling away from its sides.
Correct a wet dough with flour or a dry dough with warm water, using one tablespoon per adjustment. The target is a supple mass that slaps the bowl's sides without leaving a thick smear.
Put the dough in a greased bowl and allow about 1 hour for it to double, then press out the gas, shape a round loaf, and transfer it to a greased Dutch oven. A noticeable increase in volume matters more than reaching the end of the timer.
Cover the pot with its lid for a second rise of about 30 minutes and heat the oven to 450°F during this interval. The round should look puffier before baking, rather than tight and freshly shaped.
Bake with the lid on for 20 minutes, then uncover and continue for 10 to 15 minutes, checking for a center temperature of about 200°F. The crust should turn golden during the uncovered stage as the dill aroma becomes more pronounced.
Ease the loaf out of the pot onto a wire rack and allow about 30 minutes of cooling before cutting. The crumb will firm as steam escapes, making the slices less likely to compress.