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/api/auth-api.ts

@@ -0,0 +1,9 @@
+import { LoginRequest, User } from "@/types"
+import { WebClient } from "@/shared/web-client"
+
+export async function login(loginRequest: LoginRequest): Promise<User> {
+  const { data } = await WebClient.post<User>("/auth/login", {
+    ...loginRequest,
+  })
+  return data
+}