style: 홈 버튼 활성 상태 표시 (하단 네비게이션 스타일)

- 홈 페이지일 때: 밝은 흰색 아이콘 + 밝은 배경
- 다른 페이지일 때: 회색빛 아이콘 + 어두운 배경

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

Author: hchang

moducon-frontend/src/components/layout/Header.tsx

@@ -2,11 +2,14 @@
 
 import Link from 'next/link';
 import Image from 'next/image';
+import { usePathname } from 'next/navigation';
 import { useAuthStore } from '@/store/authStore';
 import { Home } from 'lucide-react';
 
 export function Header() {
+  const pathname = usePathname();
   const { user } = useAuthStore();
+  const isHome = pathname === '/home' || pathname === '/';
 
   // 이름에서 성(첫 글자) 추출
   const getInitial = (name: string) => {
@@ -19,9 +22,11 @@ export function Header() {
         {/* 왼쪽: 홈 아이콘 */}
         <Link
           href="/home"
-          className="w-9 h-9 rounded-full bg-white/20 hover:bg-white/30 flex items-center justify-center transition-colors"
+          className={`w-9 h-9 rounded-full flex items-center justify-center transition-colors ${
+            isHome ? 'bg-white/30' : 'bg-white/10 hover:bg-white/20'
+          }`}
         >
-          <Home className="w-5 h-5 text-white" />
+          <Home className={`w-5 h-5 ${isHome ? 'text-white' : 'text-white/60'}`} />
         </Link>
 
         {/* 가운데: 로고 */}