Place the pork in the bottom of an Instant Pot.
In a small bowl combine the soy sauce, water, sesame oil, rice vinegar, garlic cloves, ginger, and black pepper. Pour over top of the pork in the pot.
Cook on high pressure for 40 minutes. Let pressure release naturally for 10 minutes then release remaining pressure.
Shred the pork and return to the Instant Pot.
To make the Korean BBQ sauce combine the soy sauce, water, brown sugar, garlic cloves, rice vinegar, sesame oil, ginger, pepper, and Sambal Oelek in a medium saucepan over medium heat.
Bring the sauce to a boil for 5 minutes.
Mix the water and cornstarch in a bowl and add to the sauce. Stir and cook for 1 minute.
To make the kimchi place the cabbage in a large bowl.. In a small bowl combine the oil, rice vinegar, Sambal Oelek, sugar, sesame oil, salt, and pepper. Mix and pour over top of the cabbage. Cover and refrigerate until ready to use.
To assemble the tacos place pork on each tortilla, top with Korean BBQ sauce, cheese, and quick kimchi. Enjoy.