Linguine With Broccoli Mint Pesto

Name: Linguine With Broccoli Mint Pesto
Ingredients: 2 cups broccoli florets (about 5 oz.); 1 lb linguine pasta; 1/2 cup roasted, salted whole almonds, divided; 1 cup basil leaves; 1 cup mint leaves, plus more for topping; 1 oz pecorino cheese, grated on a Microplane (about 1/2 cup), plus more for topping; 1 clove garlic, roughly chopped; 1 tsp kosher salt, plus more for cooking broccoli and pasta; 3/4 cup olive oil, plus more for topping; flaky sea salt, for topping; lemon wedges, for serving