Combine broth, water, tahini, miso, tamari, chili garlic sauce, vinegar, and ginger paste in a large pot over medium heat. Bring to a simmer, lower the heat and let simmer for 20 minutes, whisking occasionally.
Place a paper towel lined plate next to the stove. In a small skillet add enough oil to cover the bottom by about ¼ inch. Heat until shimmering, add the shallot and fry until golden brown and crispy, about 3 minutes. Drain on paper towels and set aside.
Bring the broth to a boil, add the noodles, bok choy, and snow peas, cover the pot, and cook for about 5 minutes or until the noodles are soft and the vegetables are tender. Season the black soybeans with a pinch of salt. Add to the soup with the carrots.
Garnish with crispy shallots, green onions, and sliced chili.