Passover Pasta Primavera

1 cup matzo cake meal

2 large eggs plus

1 large yolk

3 tablespoons water

Potato starch for dusting For vegetables

2 tablespoons olive oil

1/2 pound asparagus , trimmed and thinly sliced, leaving tips whole

1 medium zucchini , halved lengthwise, then thinly sliced crosswise

1 cup frozen pea s

6 scallion s, thinly sliced, keeping white and pale green parts separate from greens

1/3 cup grated Parmigiano -Reggiano plus some for serving

1 teaspoon grated lemon zest