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/trpc.ts

@@ -0,0 +1,8 @@
+import { initTRPC } from '@trpc/server';
+
+import type { GameApiContext } from './context.js';
+
+const t = initTRPC.context<GameApiContext>().create();
+
+export const router = t.router;
+export const procedure = t.procedure;