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Melt butter over medium heat in a large pot or Dutch oven. Add in the onions and sauté for 5 minutes until soft, add in Lee Kum Kee Minced Garlic and continue cooking.
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Add 1 Tbsp. flour and mix in well, heating for 1 minute while stirring. Carefully pour in the chicken broth and mix together seasoning with all-spice.
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Stir in the half and half and Lee Kum Kee Panda Brand Sauce for Broccoli Beef. Turn heat up to high and bring to a low boil for about 5 minutes, then turn the heat back down to low.
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Add in the chopped carrots and broccoli, cover and let simmer for 15 minutes until vegetables are tender, stirring often.
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Take the pot off the heat and add the remaining flour along with 1 quarter of the shredded cheese, do this in 4 parts so it mixes and melts in evenly adding in salt and pepper to taste. Once all the cheese has melted in, serve and enjoy.
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(Optional) Sprinkle with more pepper for serving.