Redoubt is fine, but we're more than just a general, we are the leaders of our nations.

In medieval times the king would be in the Citadel, but if your glourious leader is skulking in a Redoubt you're in trouble.

I think the name should reflect the change in times, thats why i like Coffe house or Parliament or Chancellery - places where important chaps get together and discuss the burning issues of the day