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/components/navigation.tsx

@@ -3,6 +3,7 @@ import Link from "next/link";
 import { getTranslations } from "next-intl/server";
 import type { Session } from "next-auth";
 import { LanguageSwitcher } from "@/components/language-switcher";
+import { resolveHotelName } from "@/lib/hotel-name";
 import { MobileNav } from "@/components/mobile-nav";
 import { NavDropdown } from "@/components/nav-dropdown";
 import { NavbarColorPicker } from "@/components/navbar-color-picker";
@@ -10,6 +11,7 @@ import { ThemeSwitcher } from "@/components/theme-switcher";
 
 export async function Navigation({ session }: { session: Session | null }) {
 	const t = await getTranslations("nav");
+	const brandLabel = await resolveHotelName();
 	const isStaff = (session?.user?.rank ?? 0) >= 7;
 
 	return (
@@ -170,6 +172,7 @@ export async function Navigation({ session }: { session: Session | null }) {
 				<MobileNav
 					menuLabel={t("openMenu") || "Open menu"}
 					closeLabel={t("closeMenu") || "Close menu"}
+					brandLabel={brandLabel}
 				>
 					<Link href="/" className="nav-item">
 						<Image