Keep the vegetables between 65°F and 70°F while you work. Cut exactly 4 medium patty pan squash into irregular 3/4-inch wedges. Cut 3 medium Yukon Gold potatoes into 1/2-inch cubes and dice the red bell pepper and yellow onion. Mince the 2 garlic cloves. Pat every cut surface dry for 2 full minutes. Then toss only the potatoes with 1 tablespoon olive oil and half the salt and smoked paprika. The potatoes should look lightly slick while the squash stays matte and dry. You shouldn't see water collecting under either pile. Salt the squash now and it starts sweating before the skillet is hot. Leave the pieces damp and they'll steam instead of turning golden. Keep the cuts uneven but close in size, so the finished hash still looks homemade. Dry surfaces brown faster because water must evaporate before the Maillard reaction starts.

Set a 12-inch cast-iron skillet over medium heat at about 5 on a 10-dial. Add the 6 chopped bacon slices and cook for 7 to 9 minutes. Turn the pieces every 90 seconds until the fat renders. Lift out the bacon and add the seasoned potatoes. Raise the heat to medium-high at about 7 on the dial. Spread the cubes into one layer and cook for 12 to 14 minutes. Turn them every 3 minutes. You'll hear a steady sizzle and smell smoke before the potato edges deepen to amber. Return the bacon during the final minute and fold it through twice. The potato centers should yield to a knife but shouldn't crumble. Stir constantly and the crust can't form. Go past 15 minutes and the smallest cubes scorch while larger ones stay dense. Leaving each side untouched for 3 minutes builds a crisp starch crust.

Keep the skillet at medium-high heat, about 7 on a 10-dial. Push the potatoes and bacon toward the outer edge. Add the yellow onion and red bell pepper to the center and cook for 4 minutes. Then fold in the dry patty pan squash with the garlic and thyme. Sprinkle on the remaining salt and smoked paprika. Cook for 6 to 8 minutes and turn the pieces every 2 minutes. The squash should show deep golden patches on its cut faces while the centers stay pale and firm. The onion turns translucent and the pepper softens without collapsing. You'll smell the garlic toast during the final minute. (My first batch stayed watery, I crowded a smaller skillet. The 12-inch pan fixed it.) Stir too often and the vegetables release water before they sear. High heat and open space evaporate moisture before the squash turns soft.

Heat the oven to 375°F while the vegetables finish. Use the back of a spoon to open 4 uneven wells across the hash. Crack 1 large egg into each well and keep the yolks centered. Slide the skillet into the oven for 6 to 8 minutes. At minute 6, rotate the skillet 180 degrees. Remove it when the whites look opaque around the edges but still tremble slightly near the yolks. The yolks should stay glossy and the squash edges should hold their dark golden patches. Scatter 1/3 cup crumbled feta and 2 tablespoons sliced chives over the skillet after baking. You'll smell the warm thyme and bacon as the feta softens. Go past 9 minutes and the yolks firm while the squash loses its bite. Bake at 375°F because moderate heat sets the whites without toughening the yolks.

Rest the skillet off the heat for exactly 2 minutes. The serving temperature should settle near 145°F while the whites finish setting. Cut the hash into 4 loose sections without slicing through the yolks. Slide one section onto each white plate and keep one egg on every portion. Scoop from the skillet edge toward the center, so the crisp potato crust stays attached. Finish each plate with any feta and chives left in the skillet. The plated hash should show uneven golden squash and amber potatoes with darker bacon tucked between them. The egg white should look set while the yolk remains soft and shiny. Serve within 5 minutes because the residual heat keeps cooking the eggs. Rush the transfer and the eggs tear while the vegetables scatter. A 2-minute rest firms the whites enough for clean serving.