3 tablespoons plus 2 teaspoons canola, vegetable, or peanut oil, divided
1 pound Chinese mustard greens (gai toy; see note), leaves separated, smaller ones left whole and larger ones halved, and stalks cut into thick slices
3/4 cup vegetable stock
2 tablespoons soy sauce
2 teaspoons Shaoxing wine, or dry sherry
2 teaspoons toasted sesame oil
1 1/4 pounds mixed fresh mushrooms, such as portabello, maitake, king oyster, shimeji, enoki, and cremini, cut into thick slices, torn into large pieces, or separated into strands (depending on type of mushroom)
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