fix: 모바일 검색 X버튼 중복 및 하단 여백 수정

- type='search' → type='text'로 변경하여 브라우저 기본 X버튼 제거
- 무한 스크롤 트리거 여백 py-4 → py-2로 축소

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

@@ -215,7 +215,7 @@ function MobileSchedule() {
                         <div className="flex-1 flex items-center gap-2 bg-gray-100 rounded-full px-4 py-2 min-w-0">
                             <Search size={18} className="text-gray-400 flex-shrink-0" />
                             <input
-                                type="search"
+                                type="text"
                                 inputMode="search"
                                 enterKeyHint="search"
                                 placeholder="일정 검색..."
@@ -227,7 +227,7 @@ function MobileSchedule() {
                                         setSearchTerm(searchInput);
                                     }
                                 }}
-                                className="flex-1 bg-transparent outline-none text-sm min-w-0"
+                                className="flex-1 bg-transparent outline-none text-sm min-w-0 [&::-webkit-search-cancel-button]:hidden"
                                 autoFocus
                             />
                             {searchInput && (
@@ -497,7 +497,7 @@ function MobileSchedule() {
                                 })}
                             </div>
                             {/* 무한 스크롤 트리거 */}
-                            <div ref={loadMoreRef} className="py-4">
+                            <div ref={loadMoreRef} className="py-2">
                                 {isFetchingNextPage && (
                                     <div className="flex justify-center">
                                         <div className="w-6 h-6 border-2 border-primary border-t-transparent rounded-full animate-spin" />