refactor: centralize hotel name fallback via FALLBACK_HOTEL_NAME

Route all user-facing Atom hotel defaults through resolveHotelName (settings then HOTEL_NAME env then brand constant). Exclude Playwright e2e from tsconfig until deps are installed.

Co-authored-by: Cursor <[email protected]>

src/app/(site)/logo/page.tsx

@@ -1,5 +1,6 @@
 import LogoGenerator from "@/components/public/logo-generator";
 import { ContentCard } from "@/components/public/ui";
+import { resolveHotelName } from "@/lib/hotel-name";
 
 export const metadata = { title: "Logo generator" };
 
@@ -9,7 +10,8 @@ export const metadata = { title: "Logo generator" };
  * client-side <LogoGenerator>, which does all styling, live preview, and PNG
  * export in the browser (no server data, no DB).
  */
-export default function LogoPage() {
+export default async function LogoPage() {
+	const initialText = await resolveHotelName();
 	return (
 		<main
 			style={{
@@ -25,7 +27,7 @@ export default function LogoPage() {
 				subtitle="Design a logo for your hotel — pick a font, colours and size, then download it as a PNG."
 			/>
 
-			<LogoGenerator />
+			<LogoGenerator initialText={initialText} />
 		</main>
 	);
 }