Preheat the oven to 425F. Line a baking sheet with parchment paper.
In a high-speed blender or food processor, add the brussels sprouts and blend/pulse until finely chopped. Transfer to a large bowl and toss in the oil, pepper, and salt (save the bowl to use later).
Transfer to the baking sheet and spread out into an even layer. Bake for 15 minutes or until the brussels are beginning to char. Reduce the oven temp to 400F.
Transfer the sprouts back to the large bowl and mix in the cheeses until combined. Transfer back to the baking sheet and spread out into an even layer. Bake for 15-20 more minutes or until the brussels are very charred and the cheese is golden brown. If you underbake it, they won’t crisp up/hold together as well.
Let it cool for at least 20 minutes to let the cheese crisp up, then carefully break/tear it into chunks (or use a knife to cut into triangles). If little pieces fall off - consider that your chefs treat!
To make the sauce, in a small or medium skillet, add the oil and smoked paprika. Turn the heat to medium and stir the spices into the oil. Once you start to hear the spices gently sizzling in the oil, turn off the heat and immediately transfer the oil to a medium heat-proof bowl.
To the bowl, whisk in the tahini, lemon, mustard, garlic, and salt until combined. Add the water and whisk again until smooth and runny. If it’s still pretty thick, add another splash of water until you reach the right consistency.
Serve the crisps with the dipping sauce.