Integrate command execution with game phases (queue, pause, resume)

[jasonappah]

Objective: Align command queuing/execution with game lifecycle phases so commands are safely paused/queued during non-running phases and resumed appropriately.

Context:

• Update src/server/command/* and src/server/api/game-manager.ts to respect game phases; consider a centralized gate/guard.
• Ensure APIs and sockets (src/server/api/socket-manager.ts) communicate when commands are accepted vs held.

Acceptance:

• Commands during non-running phases are not executed but either rejected with a clear reason or queued until resume—policy documented in the code.
• On resume, queued commands are executed in order; cancellation semantics documented.
• Unit tests cover transitions pause→resume and resume→pause mid-queue.