feat: implement user authentication with login functionality

- Add auth-api for handling login requests.
- Update index.ts to export AuthApi.
- Modify HeroLayout to display username or login link based on authentication state.
- Create LoginPage component for user login.
- Update router to include login route with EmptyLayout.
- Configure WebClient to include credentials in requests.
- Add auth-slice for managing authentication state in Redux.
- Update Redux store to include auth reducer.
- Define LoginRequest and User types in types/index.ts.
- Configure Vite to proxy API requests to the backend server.

src/types/index.ts

@@ -47,3 +47,14 @@ export interface PageQueryParams {
   sortBy?: string
   direction?: Direction
 }
+
+export interface LoginRequest {
+  principle: string
+  credential: string
+}
+
+export interface User {
+  id: number
+  username: string
+  email: string
+}