v0.5.1 — multiplayer Phase 4: lobby, sessions, reconnection

A real server existed since v0.5.0 but nobody could reach it without a hand-built ?seat=&secret=
URL. This is what makes it a game you can actually create or join.

The server now hosts more than one game: src/server/lobby.ts (new) is pure logic — creating,
joining, bot seats, host transfer, starting — same split session.ts already draws for a running
game. persistence.ts gained one directory per gameId plus a top-level index so index.ts resumes
every saved game on boot. /api/stream and /api/intent now authenticate by session token instead of
?seat=&secret= — the token alone proves identity (lobby-and-sessions.md §1), so the join secret's
job ends at the lobby door.

Bots fill empty seats at Lobby.Start only, never take over a disconnected human (D8): session.ts
gained driveBots(), playing developerBot forward through consecutive bot seats after every accepted
intent. Disconnect keeps the seat and says so — Push gained an optional presence field, built
entirely by http.ts and never routed through the engine, since a disconnect is transport news, not
a GameEvent. Host rights pass to the earliest-joined remaining player if the host drops before
start.

Client: src/web/lobby.ts adds create/join forms and a live seating screen; localStorage replaces
?seat= for reconnecting straight back into a game already joined. A Multiplayer button sits beside
New game; the New Game dialog itself is untouched.

Found only by the live smoke test, not by typechecking: /api/intent read its token from the JSON
body while the client sends it in the query string (matching /api/stream) — every intent failed
"no such game" until caught by curl-level verification.

Doc fix: multiplayer.md's D18 said the player cap was 6; lobby-and-sessions.md §2 says 2-4 with the
reasoning and the test coverage to back it. The two had drifted apart. D18 now reads 2-4.

Not verified: an actual browser walking through the lobby screens — none available in this
environment, same limitation Phase 2's RemoteSession shipped under. 656 tests, 0 failures.

tools/jitsi-harness/ deliberately left untracked — unrelated side-project work, not part of this
release.

test/server/persistence.test.ts

@@ -30,6 +30,7 @@ const saved: SavedGame = {
   history: [{ type: 'localOps.choose', option: 'draw' }],
   status: 'active',
   createdAt: 1000,
+  botSeats: [],
 };
 
 async function withTempDir<T>(fn: (dir: string) => Promise<T>): Promise<T> {