ui/phase-14: auto-sync order draft + always GET on boot + header headline

Replaces the manual Submit button with an auto-sync pipeline driven
by `OrderDraftStore`: every successful add / remove / move
coalesces a `submitOrder` call so the engine always mirrors the
local draft. Removing the last command sends an empty cmd[] PUT —
the engine, repo, and rest model now accept that as a valid
"player cleared their draft" state.

`hydrateFromServer` is now invoked unconditionally on game boot so
a fresh device picks up the player's stored order, and the local
cache is overwritten by the server's view (server is the source of
truth).

Header replaces the static "race ?" + turn counter with a single
headline string `<race> @ <game>, turn <n>`, sourced from the
engine's Report.race + the lobby's GameSummary.gameName + the live
turn number, with a `?` fallback while any piece is loading.

Tests:
- engine: empty PUT round-trips, repo round-trips empty Commands
- order-draft: auto-sync sends full draft on every mutation,
  rejected response surfaces error sync status, rapid mutations
  coalesce, server hydration overwrites cache
- order-tab: per-row status flips through the auto-sync lifecycle,
  remove → empty cmd[] PUT, rejected → retry button
- inspector overlay: applied + valid + submitting all participate
  in the optimistic projection
- header: live race / game / turn rendering with fall-back

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

ui/frontend/src/lib/game-state.svelte.ts

@@ -37,6 +37,13 @@ type Status = "idle" | "loading" | "ready" | "error";
 
 export class GameStateStore {
 	gameId: string = $state("");
+	/**
+	 * gameName mirrors the lobby's `game_name` for the running game.
+	 * Lifted from the lobby record on `setGame`; empty during boot
+	 * and set once the lobby query resolves. Used by the header to
+	 * compose the `<race> @ <game>, turn N` display.
+	 */
+	gameName: string = $state("");
 	status: Status = $state("idle");
 	report: GameReport | null = $state(null);
 	wrapMode: WrapMode = $state("torus");
@@ -95,6 +102,7 @@ export class GameStateStore {
 				this.error = `game ${gameId} is not in your list`;
 				return;
 			}
+			this.gameName = summary.gameName;
 			this.currentTurn = summary.currentTurn;
 			await this.loadTurn(summary.currentTurn);
 		} catch (err) {