feat: implement authentication and health check providers with hooks for user management

apps/frontend/app/providers/AuthProvider.tsx

@@ -0,0 +1,47 @@
+import { createContext, use, useCallback, useState, type PropsWithChildren } from 'react';
+
+export type User = {
+  id: string;
+  name: string;
+};
+
+export type AuthProviderProps = PropsWithChildren<object>;
+export type AuthContextType = {
+  setUser: (user: User) => void;
+  logOut: () => void;
+  user: User | null;
+};
+
+const AuthContext = createContext<AuthContextType | null>(null);
+
+export const AuthProvider: React.FC<AuthProviderProps> = ({ children }) => {
+  const [user, setUserState] = useState<User | null>(null);
+
+  const setUser = useCallback((user: User) => {
+    setUserState(user);
+  }, []);
+
+  const logout = useCallback(() => {
+    setUserState(null);
+  }, []);
+
+  return (
+    <AuthContext
+      value={{
+        user: user,
+        logOut: logout,
+        setUser: setUser,
+      }}
+    >
+      {children}
+    </AuthContext>
+  );
+};
+
+export function useAuth() {
+  const context = use(AuthContext);
+  if (!context) {
+    throw new Error('useAuth must be used within a AuthProvider');
+  }
+  return context;
+}