Grilled Halloumi with Watermelon and Basil-Mint Oil

INGREDIENTS

1/2 cup

Basil, fresh

3/4 lb

Cherry tomatoes on the vine

Garlic clove

3 tbsp

Mint plus thinly sliced mint, fresh

Triangles thinly sliced watermelon, small

Kosher salt and freshly ground black pepper

1/2 cup

Olive oil plus more, extra-virgin

8-9-ounce package halloumi cheese