They did, they built a literal West wing that is still used for shows and ends up larger so cameras can fit and more people can fit side by side.

 A large, fully connected set of the White House allowed the producers to create shots with very few cuts and long, continuous master shots of staff members conversing as they walk through the hallways. 

https://imgur.com/gallery/west-wing-floor-plan-2023-xQcwmpE

^ That person goes very very in depth about the set if you're at all interested.