Peri Peri Chicken Wings with Sweet Potato Wedges

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3 medium sweet potatoes, sliced into 1/2-inch-thick wedges

1/4 cup vegetable oil, plus more for the grill

4 teaspoons grated lime zest, plus 2 tablespoons lime juice, plus lime wedges for serving

Kosher salt and freshly ground pepper

3 tablespoons sherry vinegar

1 small shallot, roughly chopped

1 small habanero or Fresno chile pepper, stemmed and roughly chopped

3 cloves garlic, roughly chopped

2 teaspoons smoked paprika

1 teaspoon sugar

1/2 teaspoon dried oregano

2 pounds split chicken wings