feat(demo): typing splash + intro on every fresh visit; neutral desktop Cloud tabs

- Demo boots at '/' (first visit or a browser refresh) always start with
  the typing splash into the onboarding intro — the per-calendar-day
  gate is gone. In-session SPA navigation never replays it, and
  deep-route refreshes keep the visitor's place.
- Cloud top-level tabs return to the standard mode-switcher style on
  desktop; the orange full-width switcher stays mobile-only.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

neode-ui/src/composables/useDemoIntro.ts

@@ -1,10 +1,10 @@
 /**
  * Public-demo helpers.
  *
- * The demo build (VITE_DEMO=1) replays the intro/onboarding on each visit, but
- * only once per calendar day per browser — tracked in localStorage so it
- * survives the short-lived backend session. Also exposes the shared demo
- * credentials shown on the login screen.
+ * The demo build (VITE_DEMO=1) replays the typing splash + intro/onboarding on
+ * EVERY fresh boot of the app at '/' (first visit or browser refresh) — see
+ * App.vue and RootRedirect.demoRoute. Also exposes the shared demo credentials
+ * shown on the login screen.
  */
 
 export const IS_DEMO =
@@ -13,36 +13,10 @@ export const IS_DEMO =
 /** Memorable shared password for the public demo (must match the mock backend). */
 export const DEMO_PASSWORD = 'entertoexit'
 
-const INTRO_DATE_KEY = 'demo_intro_date'
-
-function todayKey(): string {
-  // Local calendar day, e.g. "2026-06-22".
-  const d = new Date()
-  return `${d.getFullYear()}-${String(d.getMonth() + 1).padStart(2, '0')}-${String(d.getDate()).padStart(2, '0')}`
-}
-
-/** True if this browser already watched the intro earlier today. */
-export function demoIntroSeenToday(): boolean {
-  try {
-    return localStorage.getItem(INTRO_DATE_KEY) === todayKey()
-  } catch {
-    return false
-  }
-}
-
-/** Record that the intro has been seen today, so it won't replay until tomorrow. */
-export function markDemoIntroSeen(): void {
-  try {
-    localStorage.setItem(INTRO_DATE_KEY, todayKey())
-  } catch {
-    /* ignore (private mode / storage disabled) */
-  }
-}
-
-/** Forget today's "seen" marker so the intro plays again (e.g. "Replay Intro"). */
+/** Forget any legacy per-day gate marker (pre-2026-07 builds stored one). */
 export function clearDemoIntroSeen(): void {
   try {
-    localStorage.removeItem(INTRO_DATE_KEY)
+    localStorage.removeItem('demo_intro_date')
   } catch {
     /* ignore */
   }