Sesame Feta With Broccolini

Name: Sesame Feta With Broccolini
Ingredients: 1 lb. broccolini (about 2 large bunches), woody ends trimmed, cut into 2 pieces; 6 garlic cloves, coarsely chopped; 1 Fresno or other red chile, thinly sliced; 1 tsp. fennel seeds; 1 tsp. Diamond Crystal or ½ tsp. Morton kosher salt; ¼ cup plus 2 Tbsp. extra-virgin olive oil; 1 Tbsp. cornstarch; 1 Tbsp. sesame seeds; 2 tsp. za’atar; 2 6-oz. blocks feta, drained, patted dry; 2 lemons, halved; 1 Tbsp. balsamic vinegar; Country-style bread (for serving)