2. With a slotted spoon, transfer the figs to a plate and set aside. Add the remaining broth to the pan and bring just to a simmer; keep warm over very low heat.
3. Meanwhile, in a medium nonreactive saucepan, heat one tablespoon of the butter and the oil over medium heat.
4. Add the onion, carrots, squash, and celery and sauté for 5 minutes.
5. Add the rice and cook until it is coated with oil and begins to crackle a little, about 3 minutes; it should be quite aromatic.
6. Add the vermouth and allow it to sizzle until evaporated.
7. Begin adding the remaining chicken broth approximately 1/2 cup at a time, stirring constantly and allowing each addition to be absorbed before adding another. Continue cooking until the broth is incorporated and the rice is tender, about 15 minutes.
8. To finish the risotto, stir in the plumped figs, the remaining 2 tablespoons butter, the Parmigiano, and a splash of vermouth. Taste and season with salt and pepper.
9. Spoon the risotto onto serving plates and garnish with thyme and rosemary, if desired.