M1 기반: 모노레포, 공통 엔진, 공용 프로토콜, 오목 엔진, 서버 골격

- packages/engine: 시드 RNG(sfc32), GameDefinition 타입, 무작위 대국·정보 유출 테스트 도구
- packages/shared: WS 프로토콜 스키마, 닉네임·방 코드 규칙, 게임 카탈로그
- packages/games/omok: 한국식·렌주·자유룰, 재귀 금수 판정, 무르기·무승부·시계 (테스트 27개)
- apps/server: SQLite 스키마, 게스트·디스코드 로그인, 세션, 방 관리(저장·복구·타이머·재접속), WS 게이트웨이, HTTP API

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

apps/server/src/db/migrations/001_init.sql

@@ -0,0 +1,100 @@
+CREATE TABLE users (
+  id            TEXT PRIMARY KEY,
+  kind          TEXT NOT NULL CHECK (kind IN ('guest','member')),
+  nickname      TEXT NOT NULL,
+  avatar_url    TEXT,
+  use_avatar    INTEGER NOT NULL DEFAULT 1,
+  settings_json TEXT NOT NULL DEFAULT '{}',
+  nick_changed_at INTEGER,
+  nick_change_count INTEGER NOT NULL DEFAULT 0,
+  created_at    INTEGER NOT NULL,
+  last_seen_at  INTEGER NOT NULL,
+  deleted_at    INTEGER
+);
+
+CREATE TABLE oauth_accounts (
+  provider         TEXT NOT NULL,
+  provider_user_id TEXT NOT NULL,
+  user_id          TEXT NOT NULL REFERENCES users(id) ON DELETE CASCADE,
+  username         TEXT,
+  created_at       INTEGER NOT NULL,
+  PRIMARY KEY (provider, provider_user_id)
+);
+CREATE INDEX oauth_accounts_user ON oauth_accounts(user_id);
+
+CREATE TABLE sessions (
+  token_hash   TEXT PRIMARY KEY,
+  user_id      TEXT NOT NULL REFERENCES users(id) ON DELETE CASCADE,
+  created_at   INTEGER NOT NULL,
+  expires_at   INTEGER NOT NULL,
+  last_used_at INTEGER NOT NULL,
+  user_agent   TEXT
+);
+CREATE INDEX sessions_user ON sessions(user_id);
+
+CREATE TABLE rooms (
+  id          TEXT PRIMARY KEY,
+  code        TEXT NOT NULL,
+  host_id     TEXT NOT NULL,
+  game_id     TEXT NOT NULL,
+  status      TEXT NOT NULL CHECK (status IN ('lobby','playing','finished','paused','broken','closed')),
+  visibility  TEXT NOT NULL,
+  config_json TEXT NOT NULL,
+  created_at  INTEGER NOT NULL,
+  updated_at  INTEGER NOT NULL,
+  closed_at   INTEGER
+);
+CREATE UNIQUE INDEX rooms_open_code ON rooms(code) WHERE status <> 'closed';
+CREATE INDEX rooms_status ON rooms(status);
+
+CREATE TABLE room_state (
+  room_id    TEXT PRIMARY KEY REFERENCES rooms(id) ON DELETE CASCADE,
+  seq        INTEGER NOT NULL,
+  state_json TEXT NOT NULL,
+  updated_at INTEGER NOT NULL
+);
+
+CREATE TABLE room_log (
+  room_id   TEXT NOT NULL,
+  seq       INTEGER NOT NULL,
+  game_no   INTEGER NOT NULL,
+  actor_id  TEXT,
+  kind      TEXT NOT NULL,
+  data_json TEXT NOT NULL,
+  at        INTEGER NOT NULL,
+  PRIMARY KEY (room_id, seq)
+);
+
+CREATE TABLE games (
+  id           TEXT PRIMARY KEY,
+  room_id      TEXT NOT NULL,
+  game_no      INTEGER NOT NULL,
+  game_id      TEXT NOT NULL,
+  options_json TEXT NOT NULL,
+  seed_hash    TEXT NOT NULL,
+  seed         TEXT,
+  started_at   INTEGER NOT NULL,
+  ended_at     INTEGER,
+  end_reason   TEXT,
+  result_json  TEXT
+);
+CREATE INDEX games_room ON games(room_id);
+
+CREATE TABLE game_players (
+  game_pk TEXT NOT NULL REFERENCES games(id) ON DELETE CASCADE,
+  user_id TEXT NOT NULL,
+  seat    INTEGER NOT NULL,
+  rank    INTEGER,
+  score   REAL,
+  PRIMARY KEY (game_pk, user_id)
+);
+CREATE INDEX game_players_user ON game_players(user_id);
+
+CREATE TABLE user_stats (
+  user_id TEXT NOT NULL,
+  game_id TEXT NOT NULL,
+  played  INTEGER NOT NULL DEFAULT 0,
+  wins    INTEGER NOT NULL DEFAULT 0,
+  draws   INTEGER NOT NULL DEFAULT 0,
+  PRIMARY KEY (user_id, game_id)
+);