Complete the game answer flow:
- Add evaluateAnswer service function: looks up the session in the
GameSessionStore, compares the submitted optionId against the stored
correct answer, returns an AnswerResult.
- Add submitAnswer controller with safeParse validation and error
handling (session/question not found → 404).
- Add POST /api/v1/game/answer route.
- Fix createGameSession: was missing the answerKey tracking and the
gameSessionStore.create() call, so sessions were never persisted.
The full singleplayer game loop now works end-to-end:
POST /game/start → GameSession, POST /game/answer → AnswerResult.
- Add GameRequestSchema and derived types to packages/shared
- Add SupportedLanguageCode, SupportedPos, DifficultyLevel type exports
- Add getGameTerms() model to packages/db with pos/language/difficulty/limit filters
- Add prepareGameQuestions() service skeleton in apps/api
- Add createGame controller with Zod safeParse validation
- Wire POST /api/v1/game/start route
- Add scripts/gametest/test-game.ts for manual end-to-end testing
