Add subject options and redesign TV dashboard layout

Subject options:
- New subject_options table (auto-created on startup)
- SubjectOut now includes options list; all eager-loading chains updated
- Admin: Options panel per subject with add, inline edit, and delete
- WS broadcast and dashboard API include options in block subject data

TV dashboard:
- Three equal columns: Timer | Activities | Schedule
- Activities column shows current subject's options in large readable text
- Activities area has subject-colored border and tinted background
- Subject name and label displayed correctly using embedded subject data

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

backend/app/routers/sessions.py

@@ -8,6 +8,7 @@ from sqlalchemy.orm import selectinload
 from app.dependencies import get_db, get_current_user
 from app.models.child import Child
 from app.models.schedule import ScheduleBlock, ScheduleTemplate
+from app.models.subject import Subject  # noqa: F401 — needed for selectinload chain
 from app.models.session import DailySession, TimerEvent
 from app.models.user import User
 from app.schemas.session import DailySessionOut, SessionStart, TimerAction
@@ -26,12 +27,21 @@ async def _broadcast_session(db: AsyncSession, session: DailySession) -> None:
         blocks_result = await db.execute(
             select(ScheduleBlock)
             .where(ScheduleBlock.template_id == session.template_id)
+            .options(selectinload(ScheduleBlock.subject).selectinload(Subject.options))
             .order_by(ScheduleBlock.order_index)
         )
         blocks = [
             {
                 "id": b.id,
                 "subject_id": b.subject_id,
+                "subject": {
+                    "id": b.subject.id,
+                    "name": b.subject.name,
+                    "color": b.subject.color,
+                    "icon": b.subject.icon,
+                    "options": [{"id": o.id, "text": o.text, "order_index": o.order_index}
+                                for o in b.subject.options],
+                } if b.subject else None,
                 "time_start": str(b.time_start),
                 "time_end": str(b.time_end),
                 "duration_minutes": b.duration_minutes,