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/models/base.py

@@ -85,3 +85,21 @@ class TrainCreate(CamelModel):
     operator_id: str | None = None
     home_station_id: str | None = None
     consist: str | None = None
+
+
+class TrainScheduleCreate(CamelModel):
+    train_id: str
+    station_id: str
+    sequence_index: int
+    scheduled_arrival: datetime | None = None
+    scheduled_departure: datetime | None = None
+    dwell_seconds: int | None = None
+
+
+class UserCreate(CamelModel):
+    username: str
+    password_hash: str
+    email: str | None = None
+    full_name: str | None = None
+    role: str = "player"
+    preferences: str | None = None