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/env.ts

@@ -1,4 +1,5 @@
 import { z } from "zod";
+import { FALLBACK_HOTEL_NAME } from "@/lib/brand";
 
 // Minimal validated env for the foundation. When the Next.js app is added this
 // will move to @t3-oss/env-nextjs (the habbo-next pattern), but the data layer
@@ -15,7 +16,7 @@ const schema = z.object({
 		.int()
 		.positive()
 		.default(10_000),
-	HOTEL_NAME: z.string().default("Atom"),
+	HOTEL_NAME: z.string().default(FALLBACK_HOTEL_NAME),
 	APP_URL: z.string().url().default("http://localhost:3000"),
 	// Resend API key (preferred — simpler HTTP API, always works).
 	RESEND_API_KEY: z.string().optional(),