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/auth-slice.ts

@@ -0,0 +1,26 @@
+import { createSlice, PayloadAction } from "@reduxjs/toolkit"
+import { User } from "@/types"
+
+interface AuthState {
+  user: User | null
+}
+
+const initialState: AuthState = {
+  user: null,
+}
+
+const authSlice = createSlice({
+  name: "auth",
+  initialState,
+  reducers: {
+    setCurrentUser(state, action: PayloadAction<User>) {
+      state.user = action.payload
+    },
+    clearCurrentUser(state) {
+      state.user = null
+    },
+  },
+})
+
+export const { setCurrentUser, clearCurrentUser } = authSlice.actions
+export const authReducer = authSlice.reducer