feat: implement game API with TRPC and Redis transport

- Added GameApiConfig interface and configuration resolver from environment variables.
- Created GameApiContext for managing database and transport dependencies.
- Implemented InMemoryTurnDaemonTransport for testing purposes.
- Developed RedisTurnDaemonTransport for command and status handling via Redis streams.
- Defined TurnDaemonStreamKeys for namespacing Redis streams by profile.
- Established TRPC router with endpoints for health check, world state retrieval, and turn daemon commands (run, pause, resume, status).
- Integrated Fastify server with TRPC and Redis transport.
- Added unit tests for router functionality and stream key generation.
- Configured Vitest for testing environment.

app/game-api/src/daemon/transport.ts

@@ -0,0 +1,6 @@
+import type { TurnDaemonCommand, TurnDaemonStatus } from './types.js';
+
+export interface TurnDaemonTransport {
+    sendCommand(command: TurnDaemonCommand): Promise<string>;
+    requestStatus(timeoutMs?: number): Promise<TurnDaemonStatus | null>;
+}