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/admin/radio/embed/page.tsx

@@ -1,6 +1,7 @@
 import Link from "next/link";
 import { getTranslations } from "next-intl/server";
 import { StatusCard } from "@/components/admin/dashboard";
+import { resolveHotelName } from "@/lib/hotel-name";
 import { siteSettings } from "@/lib/services/site-settings";
 import { EmbedSnippet } from "./embed-snippet";
 
@@ -18,8 +19,7 @@ export default async function AdminRadioEmbedPage() {
 		streamUrl = (await siteSettings.get("radio_stream_url", "")) ?? "";
 		radioName =
 			(await siteSettings.get("radio_name", null)) ??
-			(await siteSettings.get("hotel_name", "Radio")) ??
-			"Radio";
+			(await resolveHotelName());
 		nowPlayingApiUrl =
 			(await siteSettings.get("radio_now_playing_api_url", "")) ?? "";
 	} catch {