style: 헤더 디자인 개선

- 모두콘2025 텍스트 → SVG 로고로 변경 (가운데 정렬)
- SVG 로고 흰색으로 변경 및 좌우 여백 추가
- 왼쪽에 홈 아이콘 추가
- 오른쪽 프로필은 로그인 시만 표시

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

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

Author: hchang

moducon-frontend/public/images/moducon2025.svg

@@ -1,8 +1,9 @@
 'use client';
 
 import Link from 'next/link';
+import Image from 'next/image';
 import { useAuthStore } from '@/store/authStore';
-import ModulabsLogo from '@/imports/Group-53-445';
+import { Home } from 'lucide-react';
 
 export function Header() {
   const { user } = useAuthStore();
@@ -14,15 +15,31 @@ export function Header() {
 
   return (
     <header className="sticky top-0 z-50 w-full bg-gradient-to-r from-[#FF6B9D] via-[#FF8B5A] to-[#FFA94D] shadow-lg">
-      <div className="container flex h-14 items-center justify-between px-4">
-        <Link href="/home/" className="flex items-center gap-3">
-          <div className="w-20 h-8">
-            <ModulabsLogo />
-          </div>
-          <span className="text-lg font-bold text-white">모두콘 2025</span>
+      <div className="container flex h-14 items-center px-4">
+        {/* 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"
+        >
+          <Home className="w-5 h-5 text-white" />
         </Link>
 
-        {user && (
+        {/* 가운데: 로고 */}
+        <div className="flex-1 flex justify-center">
+          <Link href="/home">
+            <Image
+              src="/images/moducon2025.svg"
+              alt="모두콘 2025"
+              width={120}
+              height={36}
+              className="h-7 w-auto"
+              priority
+            />
+          </Link>
+        </div>
+
+        {/* 오른쪽: 프로필 (로그인 시만) */}
+        {user ? (
           <Link
             href="/mypage"
             className="w-9 h-9 rounded-full bg-white/20 hover:bg-white/30 flex items-center justify-center transition-colors border-2 border-white/50"
@@ -31,6 +48,8 @@ export function Header() {
               {getInitial(user.name)}
             </span>
           </Link>
+        ) : (
+          <div className="w-9 h-9" /> // 빈 공간으로 균형 맞춤
         )}
       </div>
     </header>