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/shared/web-client/index.ts

@@ -4,6 +4,7 @@ import dayjs from "dayjs"
 const WebClient = axios.create({
   baseURL: import.meta.env.VITE_API_BASE_URL,
   timeout: dayjs.duration({ seconds: 10 }).asMilliseconds(),
+  withCredentials: true
 })
 
 export { WebClient }