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1 tablespoon ketchup

1 tablespoon mayonnaise

1 teaspoon peeled and finely grated fresh ginger

1 teaspoon toasted sesame oil

1 teaspoon soy sauce

1 teaspoon white vinegar

2 tablespoons vegetable oil

2 cloves garlic, smashed

1 pound cremini mushrooms, quartered

4 ounces shiitake mushrooms

Chopped fresh cilantro leaves, for serving