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1
Adjust oven rack to middle position and heat oven to 300 degrees.
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2
Thoroughly pat roast dry with paper towels; sprinkle generously with salt and pepper.
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3
Heat oil in large heavy-bottomed Dutch oven over medium-high heat until shimmering but not smoking.
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4
Brown roast thoroughly on all sides, reducing heat if fat begins to smoke, 8 to 10 minutes.
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5
Transfer roast to large plate; set aside.
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6
Reduce heat to medium; add onion, carrot, and celery to pot and cook, stirring occasionally, until beginning to brown, 6 to 8 minutes.
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7
Add garlic and sugar; cook until fragrant, about 30 seconds.
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8
Add chicken and beef broths and thyme, scraping bottom of pan with wooden spoon to loosen browned bits.
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9
Return roast and any accumulated juices to pot; add enough water to come halfway up sides of roast.
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10
Bring liquid to simmer over medium heat, then cover with lid; transfer pot to oven.
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11
Cook, turning roast every 30 minutes, until roast is almost tender (sharp knife should meet little resistance), 3 hours.
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12
Do not allow to boil.
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13
If this means keeping the lid slightly ajar, then do that.
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14
Add carrots, red potatoes, and celery to Dutch oven, submerging them in liquid.
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15
Continue to cook until vegetables are almost tender, about 40 minutes.
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16
Transfer roast to carving board; tent with foil to keep warm.
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17
Using slotted spoon, transfer vegetables to warmed serving bowl or platter.
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18
Pour juices into gravy separator.
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19
Melt butter in the bottom of the pan and add flour to make a roux.
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20
Stir until nutty brown.
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21
Add juices (minus fat) back into the pot.
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22
Add wine and salt and pepper to taste; simmer over medium high heat, stirring, until gravy reaches desired consistency.
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23
Using chefs or carving knife, cut meat into 1/2-inch-thick slices or pull apart into large pieces; transfer to bowl or platter with vegetables and pour about 1/2 cup sauce over meat and vegetables.
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24
Serve, passing remaining sauce separately.