That pretty much nails it on the head. However, some additional methods to make the play. The cut of beef used can make a big difference. I order a 5-8 lb brisket (note the weight is before butcher's trim), my preferential cut, demand the butcher remove all visible fat, and then trim it more myself when in my kitchen ending up with at least a 20% weight reduction. After caramelizing two medium sized thinly sliced onions in 1 tbsp of canola oil and 1 tbsp of butter, and removing the onion for later use as a garnish for roasted root vegetables, I sear the beef in a 5 quart stainless steel pan, remove it, and do the same with two lamb shanks similarly prepared, with the bones cracked. Lamb shanks are the least fatty cuts of lamb. Prior to searing, both meats receive a rub of garlic, kosher salt, fresh ground long peppers, and cider vinegar. Both meats get the same rub, but I pierce the lamb shanks with 20-30 whole dried cloves. I then cover the meats with cleaned celery until entirely covered, add enough water to reach the top of the beef, then place the cover on the pot, and like you do, braise the meats between 4-6 hours, until tender enough to pierce with a fork and no effort. Every half hour or so I check to see if more water is needed and add accordingly, tho I allow the liquid to reduce a bit over the last hour or so.
Next I remove the pot from the burner, uncovered, allow the contents to reach an almost room temperature. I remove the beef to a platter and the lamb to a carving board. After removing the cloves and discard (if you miss some, you'll spot them when carving) I carve the lamb from the bone. The cloves will have effected the flavor of the beef giving it a brightness. After carving, I place the two meats back together, cover and refrigerate overnight. This process creates a chemical change in the meats making for a more interesting texture. I toss the celery cover in the trash, at this point it is only tasteless fiber with all the nutrients now in the meat or the broth. I add whatever juices drained from the meats on the platter and the cutting board to the broth.
I strain the broth, divide into two portions. One I put in a covered container and refrigerate as is. For the other I first prepare a roux, 2 tbsp of flour browned in 1 tbsp of butter. Slowly pour the remaining broth into the same pot, stirring as I pour. I then add about 2 tbsp of fresh grated ginger and the same of turmeric, and two ounces of chopped tarragon leaves. The roux will thicken the gravy. Again I cool to room temperature, place in a covered container in the fridge.
Next day. (What!!! Two days in the Kitchen!!!, well kids, find this same dish with variations Rôti braisé, Beef à la Mode, Stracotto di Monzo, Rostizado in better restaurants as an entrée for upwards of $50 to $100 per serving a la carte.) Using the unseasoned broth in a large covered pot, add whatever root vegetables you want, turnips, parsnips, carrots, potatoes (new halved or large cut into bite size pieces), and celery, onions, more garlic, apple slices, tart and sweet, berries, combinations thereof and anything else that pleases your fancy, and cook until near tender, or add just long enough to heat (which can happen in the dish with some items). Carve as much of the beef as you think you will serve, add some of the lamb with the beef to the pot for reheating about 20 minutes before the vegetables are tender.
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