01 - Combine ground flaxseed with 2 tablespoons of water in a small bowl. Let the mixture rest for 5 minutes until it thickens to a gel-like consistency, creating your vegan binder.
02 - In a large mixing bowl, whisk together the all-purpose flour, chickpea flour, salt, and black pepper. Pour in the cold water and add the prepared flax egg, stirring until you achieve a smooth, pourable batter free of lumps.
03 - Gently fold the drained, chopped kimchi and sliced scallions into the batter until evenly distributed throughout. Set the mixture aside while you prepare the mushrooms.
04 - Heat 1 tablespoon of vegetable oil in a large nonstick skillet over medium-high heat. Add the sliced mushrooms and sauté for 2 to 3 minutes until they begin to soften and release their moisture.
05 - Stir the tamari, sesame oil, maple syrup, and rice vinegar into the mushrooms. Continue cooking and stirring for about 2 more minutes until the mushrooms are evenly glazed and most of the liquid has been absorbed. Transfer to a bowl and wipe the skillet clean.
06 - Add another tablespoon of oil to the skillet and set it over medium heat. Pour in half of the kimchi batter, spreading it into a large pancake about 1/2-inch thick. Cook for 3 to 4 minutes until the bottom is golden brown and the edges are crisp. Carefully flip and cook for another 2 to 3 minutes on the second side. Repeat with the remaining batter, adding more oil to the pan as needed.
07 - Transfer the pancakes to serving plates and spoon the warm tamari mushrooms over the top. Garnish generously with additional sliced scallions.
08 - Whisk together the tamari, rice vinegar, maple syrup, toasted sesame oil, gochugaru, and toasted sesame seeds in a small bowl until well combined. Serve alongside the pancakes for dipping.