feat: add login page and auth logic

client/src/store/user.ts

@@ -11,6 +11,7 @@ type UserStoreState = {
 
 type UserStoreActions = {
   setUser: (user: User) => void;
+  removeUser: () => void;
 };
 
 type UserStore = UserStoreState & UserStoreActions;
@@ -22,6 +23,7 @@ export const useUserStore = create<UserStore>()(
         user: userInfo != null ? JSON.parse(userInfo) : ({} as User),
         loading: false,
         setUser: (user: User) => set({ user }),
+        removeUser: () => set({ user: {} as User }),
       }),
       { name: 'userInfo' }
     )