Phase 1: reducer, SQLite, rooms & invite links

Turns the Phase 0 deployment shell into a playable async multiplayer game:

- shared/game.js + shared/board.js: pure reducer (reduce(state, action) ->
  newState) over a small branching board subset mirroring the sketched
  design (Career/Education fork, Relationship/Investment fork, High-Risk/Safe
  fork, race to Finish). Dice randomness is generated server-side and shipped
  inside the ROLL action payload, so the reducer itself stays fully pure and
  is identically importable by both server and browser.
- server/db.js: SQLite (better-sqlite3) schema for games/players/tokens,
  config and state stored as JSON. tokens covers both room invite links and
  per-player reconnect secrets.
- server/rooms.js: in-memory room registry that is the only place the shared
  reducer is invoked server-side — validates intents, applies actions,
  persists, and broadcasts to every socket in the room.
- server/index.js: REST endpoints to create/join/inspect a game, and a
  room-aware /ws that authenticates via a first {type:'AUTH'} message rather
  than a URL query param (keeps session tokens out of access/proxy logs).
- public/client.js + public/index.html: NetworkTransport wrapping the
  WebSocket, localStorage-backed session persistence so a reload resumes as
  the same player, and a lobby/waiting-room/game-view UI.
- Dockerfile: adds python3/make/g++ so better-sqlite3's node-gyp fallback
  builds on Alpine when a prebuilt binary isn't available for the exact
  Node/musl combo.

Verified: shared/game.test.js (node --test) covers the full rules engine;
a scripted two-client run over real HTTP+WS confirms both clients converge
on identical state through create/join/start/play-to-finish; a server
restart mid-game preserves state and reconnect resumes the same player
without creating a duplicate.

package.json

@@ -1,15 +1,17 @@
 {
   "name": "life-journey-server",
-  "version": "0.0.1",
+  "version": "0.1.0",
   "private": true,
   "type": "module",
-  "description": "Async multiplayer board game — deployment shell (Phase 0)",
+  "description": "Async multiplayer board game — Phase 1 (rooms, reducer, persistence)",
   "main": "server/index.js",
   "scripts": {
     "start": "node server/index.js",
-    "dev": "node --watch server/index.js"
+    "dev": "node --watch server/index.js",
+    "test": "node --test shared/game.test.js"
   },
   "dependencies": {
+    "better-sqlite3": "^11.3.0",
     "express": "^4.19.2",
     "ws": "^8.18.0"
   }