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/store/index.ts

@@ -11,6 +11,7 @@ import {
   REGISTER,
 } from "redux-persist"
 import createWebStorage from "redux-persist/es/storage/createWebStorage"
+import { authReducer } from "./auth-slice"
 import { firearmsReducer } from "./firearms-slice"
 
 const storage = createWebStorage(import.meta.env.VITE_REDUX_STORAGE ?? "local")
@@ -18,10 +19,11 @@ const storage = createWebStorage(import.meta.env.VITE_REDUX_STORAGE ?? "local")
 const persistConfig = {
   key: "root",
   storage,
-  whitelist: ["firearms"],
+  whitelist: ["auth", "firearms"],
 }
 
 const rootReducer = combineReducers({
+  auth: authReducer,
   firearms: firearmsReducer
 })