feat(splash): add latest message entry

src/app/private-room/private-room-screen.tsx

@@ -4,16 +4,14 @@ import type { CSSProperties } from "react";
 import { useEffect, useMemo, useRef } from "react";
 import Image from "next/image";
 import {
-  Camera,
   ImageIcon,
   LockKeyhole,
-  MessageCircle,
   RefreshCw,
   Sparkles,
 } from "lucide-react";
 
 import type { PrivateRoomMoment } from "@/data/dto/private-room";
-import { MobileShell } from "@/app/_components/core";
+import { AppBottomNav, MobileShell } from "@/app/_components/core";
 import { useGuestLoginBootstrap } from "@/hooks/use-guest-login-bootstrap";
 import { ROUTES } from "@/router/routes";
 import { useAppNavigator } from "@/router/use-app-navigator";
@@ -235,24 +233,11 @@ export function PrivateRoomScreen() {
           ) : null}
         </section>
 
-        <nav className={styles.bottomNav} aria-label="Private room navigation">
-          <button
-            type="button"
-            className={styles.navButton}
-            onClick={() => navigator.openChat({ replace: false })}
-          >
-            <MessageCircle size={20} aria-hidden="true" />
-            <span>Chat</span>
-          </button>
-          <button
-            type="button"
-            className={`${styles.navButton} ${styles.navButtonActive}`}
-            aria-current="page"
-          >
-            <Camera size={20} aria-hidden="true" />
-            <span>Elio Private room</span>
-          </button>
-        </nav>
+        <AppBottomNav
+          activeItem="privateRoom"
+          onChatClick={() => navigator.openChat({ replace: false })}
+          onPrivateRoomClick={() => undefined}
+        />
 
         {pendingMoment ? (
           <UnlockConfirmDialog