How to programmatically update name of category in specific store – Magento 2

Follow the below code to programatically update name of category in a specific store in Magento 2.

public function __construct(
        private \Magento\Catalog\Api\CategoryRepositoryInterface $categoryRepository,
        private \Magento\Framework\App\Filesystem\DirectoryList $directoryList,
        private \Magento\Store\Model\StoreManagerInterface $storeManager
    )

...................

$category = $this->categoryRepository->get(120, 2);
$category->setName(trim("test value"));
$this->storeManager->setCurrentStore(2);
$this->categoryRepository->save($category);