We have a shaft fan with exhaust, a controlled residential ventilation system, and a stove. Our chimney sweep did not accept an air supply box, but rather a contact in the window. Now the window is tilted when cooking. In our apartment, we also had exhaust air. Before the construction phase, we looked/smelled at recirculation and exhaust air at several acquaintances, and in the end, my wife decided on exhaust air. We also have the Thermobox from Naber. I believe it even has a certificate because of the blower door test. Everything went smoothly through as well. We don’t have a thermal bridge because of that, why would we.