refactor: 모바일 public 페이지 API 모듈 적용

수정된 파일 (5개):
- pages/mobile/public/Album.jsx
  - fetch('/api/albums') → getAlbums()

- pages/mobile/public/Members.jsx
  - fetch('/api/members') → getMembers()

- pages/mobile/public/AlbumDetail.jsx
  - fetch('/api/albums') → getAlbums()
  - fetch('/api/albums/{id}/tracks') → getAlbumTracks()

- pages/mobile/public/AlbumGallery.jsx
  - fetch('/api/albums') → getAlbums()
  - fetch('/api/albums/{id}/photos') → getAlbumPhotos()

- pages/mobile/public/Schedule.jsx
  - fetch('/api/schedules?year=...') → getSchedules()
  - fetch('/api/schedules/categories') → getCategories()
  - fetch('/api/schedules?search=...') → searchSchedules()

Home.jsx는 이미 API 모듈 사용 중이므로 제외

frontend/src/pages/mobile/public/Album.jsx

@@ -1,6 +1,7 @@
 import { motion } from 'framer-motion';
 import { useState, useEffect } from 'react';
 import { useNavigate } from 'react-router-dom';
+import { getAlbums } from '../../../api/public/albums';
 
 // 모바일 앨범 목록 페이지
 function MobileAlbum() {
@@ -9,8 +10,7 @@ function MobileAlbum() {
     const [loading, setLoading] = useState(true);
 
     useEffect(() => {
-        fetch('/api/albums')
-            .then(res => res.json())
+        getAlbums()
             .then(data => {
                 setAlbums(data);
                 setLoading(false);

frontend/src/pages/mobile/public/AlbumDetail.jsx

@@ -2,6 +2,7 @@ import { motion } from 'framer-motion';
 import { useState, useEffect } from 'react';
 import { useParams, useNavigate } from 'react-router-dom';
 import { ArrowLeft, Play } from 'lucide-react';
+import { getAlbums, getAlbumTracks } from '../../../api/public/albums';
 
 // 모바일 앨범 상세 페이지
 function MobileAlbumDetail() {
@@ -13,15 +14,13 @@ function MobileAlbumDetail() {
 
     useEffect(() => {
         // 앨범 정보 로드
-        fetch('/api/albums')
-            .then(res => res.json())
+        getAlbums()
             .then(data => {
                 const found = data.find(a => a.folder_name === name);
                 if (found) {
                     setAlbum(found);
                     // 트랙 정보 로드
-                    fetch(`/api/albums/${found.id}/tracks`)
-                        .then(res => res.json())
+                    getAlbumTracks(found.id)
                         .then(setTracks)
                         .catch(console.error);
                 }

frontend/src/pages/mobile/public/AlbumGallery.jsx

@@ -2,6 +2,7 @@ import { useState, useEffect } from 'react';
 import { useParams, useNavigate } from 'react-router-dom';
 import { ArrowLeft, X, ChevronLeft, ChevronRight } from 'lucide-react';
 import { motion, AnimatePresence } from 'framer-motion';
+import { getAlbums, getAlbumPhotos } from '../../../api/public/albums';
 
 // 모바일 앨범 갤러리 페이지
 function MobileAlbumGallery() {
@@ -13,14 +14,12 @@ function MobileAlbumGallery() {
     const [selectedIndex, setSelectedIndex] = useState(null);
 
     useEffect(() => {
-        fetch('/api/albums')
-            .then(res => res.json())
+        getAlbums()
             .then(data => {
                 const found = data.find(a => a.folder_name === name);
                 if (found) {
                     setAlbum(found);
-                    fetch(`/api/albums/${found.id}/photos`)
-                        .then(res => res.json())
+                    getAlbumPhotos(found.id)
                         .then(setPhotos)
                         .catch(console.error);
                 }

frontend/src/pages/mobile/public/Members.jsx

@@ -1,6 +1,7 @@
 import { motion, AnimatePresence } from 'framer-motion';
 import { useState, useEffect } from 'react';
 import { Instagram } from 'lucide-react';
+import { getMembers } from '../../../api/public/members';
 
 // 모바일 멤버 페이지
 function MobileMembers() {
@@ -9,8 +10,7 @@ function MobileMembers() {
     const [selectedMember, setSelectedMember] = useState(null);
 
     useEffect(() => {
-        fetch('/api/members')
-            .then(res => res.json())
+        getMembers()
             .then(data => {
                 setMembers(data.filter(m => !m.is_former));
                 setFormerMembers(data.filter(m => m.is_former));

frontend/src/pages/mobile/public/Schedule.jsx

@@ -3,6 +3,7 @@ import { motion, AnimatePresence } from 'framer-motion';
 import { Clock, Tag, Link2, ChevronLeft, ChevronRight, ChevronDown, Search, X, Calendar } from 'lucide-react';
 import { useInfiniteQuery } from '@tanstack/react-query';
 import { useInView } from 'react-intersection-observer';
+import { getSchedules, getCategories, searchSchedules } from '../../../api/public/schedules';
 
 // 모바일 일정 페이지
 function MobileSchedule() {
@@ -37,11 +38,7 @@ function MobileSchedule() {
     } = useInfiniteQuery({
         queryKey: ['mobileScheduleSearch', searchTerm],
         queryFn: async ({ pageParam = 0 }) => {
-            const response = await fetch(
-                `/api/schedules?search=${encodeURIComponent(searchTerm)}&offset=${pageParam}&limit=${SEARCH_LIMIT}`
-            );
-            if (!response.ok) throw new Error('Search failed');
-            return response.json();
+            return searchSchedules(searchTerm, { offset: pageParam, limit: SEARCH_LIMIT });
         },
         getNextPageParam: (lastPage) => {
             if (lastPage.hasMore) {
@@ -72,8 +69,8 @@ function MobileSchedule() {
         
         setLoading(true);
         Promise.all([
-            fetch(`/api/schedules?year=${year}&month=${month}`).then(res => res.json()),
-            fetch('/api/schedules/categories').then(res => res.json())
+            getSchedules(year, month),
+            getCategories()
         ]).then(([schedulesData, categoriesData]) => {
             setSchedules(schedulesData);
             setCategories(categoriesData);