refactor(page): extract screen routing into ScreenRouter component

app/page.tsx

@@ -5,14 +5,8 @@ import { useSoloGame } from "../lib/useSoloGame";
 import { useMultiGame } from "../lib/useMultiGame";
 import { useGameEffects } from "../lib/useGameEffects";
 import { useGameHandlers } from "../lib/useGameHandlers";
-import { fmt } from "../lib/utils";
+import { ScreenRouter } from "./components/ScreenRouter";
 import type { Screen } from "../lib/types";
-import { HomeScreen } from "./components/HomeScreen";
-import { LobbyScreen } from "./components/LobbyScreen";
-import { SoloScreen } from "./components/SoloScreen";
-import { GameScreen } from "./components/GameScreen";
-import { AuthModal } from "./components/AuthModal";
-import { ProfileScreen } from "./components/ProfileScreen";
 
 export default function WikiRush() {
   const [screen, setScreen] = useState<Screen>("home");
@@ -28,68 +22,14 @@ export default function WikiRush() {
   const { session } = useGameEffects({ solo, multi, screen, setScreen, setPlayerName });
   const handlers = useGameHandlers({ solo, multi, playerName, joinCode, setScreen, setError, setLoading });
 
-  if (screen === "profile") return (
-    <ProfileScreen userName={session?.user?.name ?? "Joueur"} onBack={() => setScreen("home")} />
-  );
-
-  if (screen === "home") return (
-    <>
-      <HomeScreen
-        playerName={playerName} setPlayerName={setPlayerName}
-        joinCode={joinCode} setJoinCode={setJoinCode}
-        error={error} setError={setError} loading={loading}
-        onCreateRoom={handlers.handleCreateRoom}
-        onJoinRoom={handlers.handleJoinRoom}
-        onSolo={handlers.handleSolo}
-        session={session}
-        onShowAuth={() => setShowAuth(true)}
-        onShowProfile={() => setScreen("profile")}
-      />
-      {showAuth && <AuthModal onClose={() => setShowAuth(false)} onSuccess={() => setShowAuth(false)} />}
-    </>
-  );
-
-  if (screen === "solo") return (
-    <SoloScreen
-      phase={solo.phase} puzzle={solo.puzzle}
-      html={solo.html} title={solo.title}
-      loading={solo.loading} loadError={solo.loadError}
-      history={solo.history} clicks={solo.clicks}
-      elapsedDisplay={fmt(solo.elapsed)}
-      canGoBack={solo.canGoBack}
-      onStart={solo.start}
-      onNavigate={solo.navigate}
-      onBack={solo.goBack}
-      onQuit={() => { solo.reset(); setScreen("home"); }}
-      onNewGame={solo.start}
-      onRetry={solo.retryLoad}
-    />
-  );
-
-  if (screen === "lobby" && multi.room && multi.playerId) return (
-    <LobbyScreen
-      room={multi.room} playerId={multi.playerId}
+  return (
+    <ScreenRouter
+      screen={screen} setScreen={setScreen} session={session}
+      solo={solo} multi={multi} handlers={handlers}
+      playerName={playerName} setPlayerName={setPlayerName}
+      joinCode={joinCode} setJoinCode={setJoinCode}
       error={error} setError={setError} loading={loading}
-      onLeave={handlers.handleLeave}
-      onStart={handlers.handleStartGame}
-      onReset={handlers.handleResetGame}
+      showAuth={showAuth} setShowAuth={setShowAuth}
     />
   );
-
-  if (screen === "game" && multi.room && multi.playerId) return (
-    <GameScreen
-      room={multi.room} playerId={multi.playerId}
-      html={multi.html} title={multi.title}
-      loading={multi.loading} loadError={multi.loadError}
-      history={multi.history} clicks={multi.clicks}
-      elapsed={fmt(multi.elapsed)}
-      countdown={multi.countdown}
-      onNavigate={multi.navigate}
-      onRetry={multi.retryLoad}
-      onNextRound={handlers.handleNextRound}
-      onResetGame={handlers.handleResetGame}
-    />
-  );
-
-  return null;
 }