feat(frontend): surfaces live web (workstate live, background, inbox, reconnect) (#13)

Lot F5 du chantier server/client mode : le client web consomme les frames
event.domain (B7) pour animer ses surfaces live.

- webLive.ts : consommation du flux event.domain (workstate, background,
  inbox).
- useLiveReconnect.ts : reconnexion du flux live.
- wsLiveClient.ts / index.ts : câblage du transport live.
- WebWorkspace.tsx : surfaces live branchées.
- Tests : WebWorkspaceLive.test.tsx, wsLiveClientReconnect.test.ts,
  WebApp.test.tsx.

Validé : frontend 753 tests verts, desktop non régressé.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

frontend/src/adapters/http/index.ts

@@ -19,6 +19,7 @@ import { LocalStorageUiPreferencesGateway } from "../uiPreferences";
 import { HttpInvoker } from "./httpInvoker";
 import { WsLiveClient } from "./wsLiveClient";
 import { getWebSession } from "./webSession";
+import { setWebLiveClient } from "./webLive";
 import {
   HttpConversationGateway,
   HttpEmbedderGateway,
@@ -86,6 +87,9 @@ export function createHttpWsGateways(config: HttpWsGatewaysConfig = {}): Gateway
     onUnauthorized: () => session.notifyUnauthorized(),
   });
   const ws = new WsLiveClient({ wsUrl, token: config.token });
+  // Share the live client with the web feature so live surfaces can re-sync on
+  // reconnect (F5). Inert on desktop (never called there).
+  setWebLiveClient(ws);
 
   return {
     system: new HttpSystemGateway(http, ws),
@@ -116,3 +120,5 @@ export function createHttpWsGateways(config: HttpWsGatewaysConfig = {}): Gateway
 export { HttpInvoker } from "./httpInvoker";
 export { WsLiveClient } from "./wsLiveClient";
 export { WebSession, getWebSession, setWebSessionForTests } from "./webSession";
+export { getWebLiveClient, setWebLiveClient } from "./webLive";
+export type { ConnectionState } from "./wsLiveClient";