There is coordination to a certain extent, and this is more of a theoretical answer. If it's largely one department that's footing the bill, we would carry the can for other departments.
If you're contemplating something where you would see other departments requiring resources, there's one of two possibilities. They put in their own request, or the money effectively sits with this department and then is transferred to the other departments when required, based on the rollout of the mission.
All is possible. The engagement is there. The funding models could vary depending upon the exact specifics.