feat: add Playwright configuration and initial e2e test for authentication

- Created Playwright configuration file to set up testing environment.
- Added a new e2e test for user authentication in login.spec.ts.
- Updated tsconfig.node.json to include playwright.config.ts.
- Enhanced vite.config.ts to include API proxying for backend integration.
- Added a placeholder for last run test results in .last-run.json.

backend/app/repositories/train_schedules.py

@@ -0,0 +1,45 @@
+from __future__ import annotations
+
+import sqlalchemy as sa
+from uuid import UUID
+from sqlalchemy.orm import Session
+
+from backend.app.db.models import TrainSchedule
+from backend.app.models import TrainScheduleCreate
+from backend.app.repositories.base import BaseRepository
+
+
+class TrainScheduleRepository(BaseRepository[TrainSchedule]):
+    """Persistence operations for train timetables."""
+
+    model = TrainSchedule
+
+    def __init__(self, session: Session) -> None:
+        super().__init__(session)
+
+    @staticmethod
+    def _ensure_uuid(value: UUID | str) -> UUID:
+        if isinstance(value, UUID):
+            return value
+        return UUID(str(value))
+
+    def list_for_train(self, train_id: UUID | str) -> list[TrainSchedule]:
+        identifier = self._ensure_uuid(train_id)
+        statement = (
+            sa.select(self.model)
+            .where(self.model.train_id == identifier)
+            .order_by(self.model.sequence_index.asc())
+        )
+        return list(self.session.scalars(statement))
+
+    def create(self, data: TrainScheduleCreate) -> TrainSchedule:
+        schedule = TrainSchedule(
+            train_id=self._ensure_uuid(data.train_id),
+            station_id=self._ensure_uuid(data.station_id),
+            sequence_index=data.sequence_index,
+            scheduled_arrival=data.scheduled_arrival,
+            scheduled_departure=data.scheduled_departure,
+            dwell_seconds=data.dwell_seconds,
+        )
+        self.session.add(schedule)
+        return schedule