Fill a 4-quart / 3.8 L pot with 2.5 L / 2.5 quarts of water, add the 1 tbsp salt, and set it over high heat. While it heats, slice the mushrooms, dice the onion, mince the garlic, and measure out the remaining ingredients.
Heat the olive oil in a 30 cm / 12-inch deep skillet over medium-high heat for 2 minutes. Add the beef and break it into small crumbles with a wooden spoon. Cook for 6 to 8 minutes until no pink remains and the bits are browned. Check a few of the larger crumbles with an instant-read thermometer for 160 F / 71 C. Spoon off all but about 1 tablespoon of fat, then move the beef to a bowl.
Lower the heat to medium and melt the butter in the same skillet. Add the mushrooms and leave them alone for 3 minutes, then stir now and then for 4 to 5 minutes more until their liquid is gone and they're browned. Add the onion and cook for 4 minutes until soft. Stir in the garlic, tomato paste and paprika for 1 minute until the paste darkens.
Sprinkle the flour over the vegetables and stir for 1 minute. Pour in the broth slowly, scraping up the browned bits from the bottom. Add the Worcestershire, Dijon, 3/4 tsp salt and the pepper, then return the beef and its juices to the pan. Simmer for 5 to 6 minutes until the sauce coats the back of a spoon.
While the sauce simmers, add the noodles to the boiling water and cook for 7 to 8 minutes until al dente. Scoop out 120 ml / 1/2 cup of the cooking water, then drain the noodles.
Take the skillet off the heat and wait 2 minutes, until the bubbling stops. Whisk the yogurt with 3 tablespoons of the hot sauce in a small bowl, then stir that mixture back into the skillet. If the sauce is thicker than you like, loosen it with a splash of the reserved noodle water.
Add the drained noodles to the skillet and toss gently, or spoon the sauce over noodles on each plate. Top with parsley and serve right away.