feat(03-05): wire parent area into app.ts

- Import showParentCodePrompt and initParentScreen from ui/parent
- Register global Ctrl+Shift+E keyboard listener in initApp
- Initialize parent screen with back-to-forest callback

src/app.ts

@@ -4,6 +4,7 @@ import { initWelcomeScreen, initLessonScreen } from "./ui/screens";
 import { initForestScreen } from "./forest/scene";
 import { getGreeting } from "./companion/companion";
 import { companions } from "./companion/characters";
+import { showParentCodePrompt, initParentScreen } from "./ui/parent";
 
 let db: IDBDatabase;
 let lessonCleanup: (() => void) | null = null;
@@ -86,6 +87,21 @@ function startLessonFromForest(level: number): void {
 
 export async function initApp(): Promise<void> {
 	db = await openDB();
+
+	// Wire parent screen back button
+	initParentScreen(db, async () => {
+		await initForestScreen(db, startLessonFromForest);
+		showScreen("forest");
+	});
+
+	// Global keyboard shortcut for parent area (Ctrl+Shift+E)
+	document.addEventListener("keydown", (e) => {
+		if (e.ctrlKey && e.shiftKey && e.key === "E") {
+			e.preventDefault();
+			showParentCodePrompt();
+		}
+	});
+
 	const progress = await getProgress(db);
 	if (progress && progress.selectedCharacter) {
 		// Returning user -- init forest and go there