feat(schedule): 카테고리 필터 개선 및 달력 오늘 버튼 추가

- 카테고리 카운트를 선택 날짜와 무관하게 해당 달 전체 기준으로 변경
- 카테고리 섹션이 길어지면 카드 내부 스크롤 (평소엔 콘텐츠 크기 유지)
- 달력 하단에 오늘 날짜로 이동하는 버튼 추가
- 달력 하단 여백 24px → 20px

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

frontend/src/components/pc/public/schedule/Calendar.jsx

@@ -1,6 +1,6 @@
 import { useState, useRef, useEffect, useMemo } from 'react';
 import { motion, AnimatePresence } from 'framer-motion';
-import { ChevronLeft, ChevronRight, ChevronDown } from 'lucide-react';
+import { ChevronLeft, ChevronRight, ChevronDown, CalendarDays } from 'lucide-react';
 import { getTodayKST, dayjs } from '@/utils';
 import { MIN_YEAR, WEEKDAYS, MONTH_NAMES } from '@/constants';
 
@@ -93,6 +93,17 @@ function Calendar({
     }
   };
 
+  // 오늘 날짜로 이동
+  const goToToday = () => {
+    const today = new Date();
+    const isFuture =
+      today.getFullYear() > year ||
+      (today.getFullYear() === year && today.getMonth() > month);
+    setSlideDirection(isFuture ? 1 : -1);
+    onDateChange(today);
+    onSelectDate(getTodayKST());
+  };
+
   const selectYear = (newYear) => {
     onDateChange(new Date(newYear, month, 1));
   };
@@ -133,7 +144,7 @@ function Calendar({
       transition={{ duration: 0.2 }}
       className={disabled ? 'pointer-events-none' : ''}
     >
-      <div className="bg-white rounded-2xl shadow-sm pt-8 px-8 pb-6 relative" ref={pickerRef}>
+      <div className="bg-white rounded-2xl shadow-sm pt-8 px-8 pb-5 relative" ref={pickerRef}>
         {/* 헤더 */}
         <div className="flex items-center justify-between mb-8">
           <button
@@ -318,12 +329,20 @@ function Calendar({
           </motion.div>
         </AnimatePresence>
 
-        {/* 범례 */}
+        {/* 범례 + 오늘 버튼 */}
-        <div className="mt-6 pt-4 border-t border-gray-100 flex items-center text-sm">
+        <div className="mt-6 pt-4 border-t border-gray-100 flex items-center justify-between text-sm">
           <div className="flex items-center gap-1.5 text-gray-500">
             <span className="w-2 h-2 rounded-full bg-primary flex-shrink-0" />
             <span className="leading-none">일정 있음</span>
           </div>
+          <button
+            aria-label="오늘 날짜로 이동"
+            onClick={goToToday}
+            className="flex items-center gap-1 px-2.5 py-1.5 rounded-lg text-primary font-medium hover:bg-primary/10 transition-colors"
+          >
+            <CalendarDays size={14} aria-hidden="true" />
+            오늘
+          </button>
         </div>
       </div>
     </motion.div>

frontend/src/components/pc/public/schedule/CategoryFilter.jsx

@@ -39,10 +39,10 @@ function CategoryFilter({
     <motion.div
       animate={{ opacity: disabled ? 0.4 : 1 }}
       transition={{ duration: 0.2 }}
-      className={`bg-white rounded-2xl shadow-sm p-6 ${disabled ? 'pointer-events-none' : ''}`}
+      className={`bg-white rounded-2xl shadow-sm p-6 flex flex-col min-h-0 ${disabled ? 'pointer-events-none' : ''}`}
     >
-      <h3 className="font-bold text-gray-900 mb-4">카테고리</h3>
+      <h3 className="font-bold text-gray-900 mb-4 flex-shrink-0">카테고리</h3>
-      <div className="space-y-1">
+      <div className="space-y-1 flex-1 min-h-0 overflow-y-auto -mr-3 pr-3">
         {/* 전체 */}
         <button
           onClick={onClear}

frontend/src/pages/pc/public/schedule/Schedule.jsx

@@ -206,14 +206,13 @@ function PCSchedule() {
     return Array.from(categoryMap.values());
   }, [schedules]);
 
-  // 카테고리별 카운트
+  // 카테고리별 카운트 (선택 날짜와 무관하게 해당 달 전체 기준)
   const categoryCounts = useMemo(() => {
     const source = isSearchMode && searchTerm ? searchResults : schedules;
     const counts = new Map();
     let total = 0;
 
     source.forEach((s) => {
-      if (!(isSearchMode && searchTerm) && selectedDate && s.date !== selectedDate) return;
       const catId = s.category_id;
       if (catId) {
         counts.set(catId, (counts.get(catId) || 0) + 1);
@@ -222,7 +221,7 @@ function PCSchedule() {
     });
     counts.set('total', total);
     return counts;
-  }, [schedules, searchResults, isSearchMode, searchTerm, selectedDate]);
+  }, [schedules, searchResults, isSearchMode, searchTerm]);
 
   // 카테고리 색상/이름 가져오기
   const getCategoryColor = useCallback(
@@ -345,8 +344,9 @@ function PCSchedule() {
             initial={{ opacity: 0, x: -20 }}
             animate={{ opacity: 1, x: 0 }}
             transition={{ delay: 0.3, duration: 0.4 }}
-            className="space-y-6"
+            className="flex flex-col gap-6 min-h-0"
           >
+            <div className="flex-shrink-0">
               <Calendar
                 currentDate={currentDate}
                 onDateChange={setCurrentDate}
@@ -356,6 +356,7 @@ function PCSchedule() {
                 getCategoryColor={getCategoryColor}
                 disabled={isSearchMode}
               />
+            </div>
             <CategoryFilter
               categories={categories}
               selectedCategories={selectedCategories}