feat: tech tasks page, priority in HK context menu, room status sync

Context menu (RoomContextMenu):
- Dirty/Cleaning now show priority sub-form (срочно/высокий/средний/низкий)
- New "Тех. задача" section with description text + priority grid

Calendar (CalendarPage):
- handleRoomUpdate: creates task for both 'dirty' AND 'cleaning' status
- New handleMaintenanceTaskCreate for category=maintenance tasks
- Passes priority from context menu to task creation

Backend (housekeeping.ts):
- task status → in_progress: room housekeeping_status = 'cleaning',
  broadcasts housekeeping_done with roomStatus='cleaning' so all
  connected Calendar clients update in real-time

DB (migration 025):
- category column on housekeeping_tasks (default 'housekeeping')
- HousekeepingPage filters category=housekeeping
- TechnicalPage filters category=maintenance

New TechnicalPage (/technical):
- List/filter/delete maintenance tasks
- Status dropdown per task
- Create modal with room/user/priority/date

Sidebar: "Тех. задачи" nav item added

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

backend/src/routes/housekeeping.ts

@@ -123,6 +123,15 @@ const housekeeping: FastifyPluginAsync = async (fastify) => {
       if (!rows[0]) return reply.code(404).send({ error: 'Task not found' })
       const task = rows[0]
 
+      // When task is marked in_progress → room becomes 'cleaning'
+      if (request.body.status === 'in_progress' && task.room_id) {
+        await db.query(
+          `UPDATE rooms SET housekeeping_status = 'cleaning' WHERE id = $1`,
+          [task.room_id],
+        )
+        broadcast(slug, { type: 'housekeeping_done', taskId: task.id, roomId: task.room_id, roomStatus: 'cleaning' })
+      }
+
       // When task is marked done → update room housekeeping status
       if (request.body.status === 'done' && task.room_id) {
         const settings = await getHkSettings(hotelId).catch(() => null)