Redirect to nested controller action - laravel-6

Question

I recently moved my controllers to an Admin directory.
I changed the namespace: namespace App\Http\Controllers\Admin;
I have included the Controller class: use App\Http\Controllers\Controller;
In my controller, I have a redirect to the controller's index() action.
return redirect()->action('ServiceController#index');
Now I get the following error:
InvalidArgumentException Action
App\Http\Controllers\ServiceController#index not defined.
I can't figure out how to declare the new action redirect in the docs so I am posting my question here.
Routes
Route::group(['namespace' => 'Admin', 'prefix' => 'admin'], function () {
Route::resource('projects', 'ProjectController');
Route::resource('services', 'ServiceController');
Route::resource('projectFiles', 'ProjectFileController');
Route::get('seed', 'SeedController#seedDatabase')->name('seed');
});
This is the part of the controller where I am talking about:
class ServiceController extends Controller
{
public function index()
{
return view('admin.services.index', [
'services' => Service::all()
]);
}
public function create()
{
return view('admin.services.create');
}
public function store(Request $request)
{
try {
Service::create([
'name' => $request->name,
'machine_name' => snake_case($request->name),
'description' => $request->description
]);
return redirect()->action('\App\Htpp\Controllers\Admin\ServiceController#index');
} catch (\Throwable $th) {
throw $th;
}
}
}

Answer 1

I think I found the answer, but anyone can correct me if I am wrong.
In RouteServiceProvider the namespace is set to App\Http\Controllers:
protected $namespace = 'App\Http\Controllers';
So I decided to add Admin\ before the name of the controller and now the redirect works:
return redirect()->action('Admin\ServiceController#index');