government office
廰 centers on a government office or administrative building. It is a rare variant form of 廳 (government office).
廰 is a variant form of 廳, combining 广 (building) with 聴 (listen), suggesting a place where official hearings are held. The exact historical development is uncertain, but it likely arose as a simplification of the more complex 廳.
Under a roof 广, officials listen 聴 to the people's concerns: that's a government office.
For チョウ, picture a long-serving chief named Chou running the government office: Chou -> チョウ, and he listens to everyone.