feat: add room likes feature

- Users can like/unlike rooms
- Like count displayed on room cards
- LikeButton component with heart icon
- room_likes table with unique constraint

src/app/rooms/page.tsx

@@ -3,6 +3,7 @@
 import { useEffect, useState, useRef } from 'react';
 import { formatDisplayDate } from '@/lib/date';
 import RoomCalendar from '@/components/RoomCalendar';
+import LikeButton from '@/components/LikeButton';
 
 interface Room {
   id: number;
@@ -420,8 +421,11 @@ export default function RoomsPage() {
 
               {/* ─── Room Info ─── */}
               <div style={{ padding: '1.5rem', flex: 1, display: 'flex', flexDirection: 'column' }}>
-                <h2 style={{ margin: '0 0 0.5rem', color: navy, fontSize: '24px' }}>{room.name}</h2>
-                <p style={{ color: '#555', lineHeight: 1.5, flex: 1 }}>{room.description}</p>
+                <div style={{ display: 'flex', justifyContent: 'space-between', alignItems: 'flex-start' }}>
+                  <h2 style={{ margin: 0, color: navy, fontSize: '24px' }}>{room.name}</h2>
+                  <LikeButton roomId={room.id} />
+                </div>
+                <p style={{ color: '#555', lineHeight: 1.5, flex: 1, marginTop: '0.5rem' }}>{room.description}</p>
                 
                 {/* ─── Amenity Icons ─── */}
                 {room.amenities && room.amenities.length > 0 && (