feat(home): clean shared top bar with live online counter

The homepage duplicated the online count and recent-user avatars (hero plus
community sidebar), and the public pages each kept their own chrome. Put one
AuthTopBar at the top of index, login and register — logo + hotel name plus a
live online indicator and the language/clock/theme controls — and drop the
duplicated hero rows.

src/components/auth/auth-landing.tsx

@@ -103,6 +103,7 @@ export function AuthLandingView({ data, copy, form }: AuthLandingViewProps) {
 		<AuthPageFrame
 			hotelName={data.hotelName}
 			logo={data.logo}
+			online={data.online}
 			title={copy.title}
 			subtitle={copy.subtitle}
 			notice={copy.notice}