custom attribute value not save in the Database

<?php
declare(strict_types=1);

namespace VendorModuleSetupPatchData;

use MagentoEavModelConfig;
use MagentoEavModelEntityAttributeSetFactory as AttributeSetFactory;
use MagentoEavModelEntityAttributeSourceBoolean;
use MagentoEavSetupEavSetupFactory;
use MagentoFrameworkExceptionLocalizedException;
use MagentoFrameworkSetupPatchDataPatchInterface;
use Zend_Validate_Exception;

/**
 * @class CustomerSync
 */
class CustomerSync implements DataPatchInterface
{
    /**
     * @var Config
     */
    private Config $eavConfig;

    /**
     * @var EavSetupFactory
     */
    private EavSetupFactory $eavSetupFactory;

    /**
     * @var AttributeSetFactory
     */
    private AttributeSetFactory $attributeSetFactory;

    /**
     * AddressAttribute constructor.`enter code here`
     *
     * @param Config $eavConfig
     * @param EavSetupFactory $eavSetupFactory
     * @param AttributeSetFactory $attributeSetFactory
     */
    public function __construct(
        Config              $eavConfig,
        EavSetupFactory     $eavSetupFactory,
        AttributeSetFactory $attributeSetFactory
    ) {
        $this->eavConfig = $eavConfig;
        $this->eavSetupFactory = $eavSetupFactory;
        $this->attributeSetFactory = $attributeSetFactory;
    }

    /**
     * {@inheritdoc}
     */
    public static function getDependencies(): array
    {
        return [];
    }

    /**
     * @return void
     * @throws LocalizedException
     * @throws Zend_Validate_Exception
     */
    public function apply(): void
    {
        $eavSetup = $this->eavSetupFactory->create();

        $customerEntity = $this->eavConfig->getEntityType('customer');
        $attributeSetId = $customerEntity->getDefaultAttributeSetId();

        $attributeSet = $this->attributeSetFactory->create();
        $attributeGroupId = $attributeSet->getDefaultGroupId($attributeSetId);

        $eavSetup->addAttribute('customer', 'eligible_for_sync', [
            'type' => 'int',
            'input' => 'boolean',
            'label' => 'Eligible for Sync',
            'visible' => false,
            'source' => Boolean::class,
            'required' => false,
            'user_defined' => true,
            'system' => false,
            'global' => true,
            'default' => 0,
            'visible_on_front' => false,
            'sort_order' => 50,
            'position' => 50,
            'is_visible_in_grid' => true
        ]);

        $customAttribute = $this->eavConfig->getAttribute('customer', 'eligible_for_sync');

        $customAttribute->addData([
            'attribute_set_id' => $attributeSetId,
            'attribute_group_id' => $attributeGroupId,
            'used_in_forms' => ['adminhtml_customer', 'adminhtml_checkout', 'customer_account_create', 'customer_account_edit']
        ]);
        $customAttribute->save();
    }

    /**
     * {@inheritdoc}
     */
    public function getAliases(): array
    {
        return [];
    }
}

That is my controller to save the attribute value. In Xdebug set the value 1 but not update in the database customer_entity_int table

 $customerCollection = $this->collectionFactory->create();
        $customerCollection->addFieldToFilter('entity_id', [3,8]);
         if ($customerCollection->getSize() > 0) {
            foreach ($customerCollection as $customer) {
                $customerId = $customer->getId();
                $data = "1";
                $customerData = $customer->getDataModel();
                $customerData->setCustomAttribute('eligible_for_sync', $data);
                $customer->updateData($customerData);
                $customerResource = $this->customerFactory->create();
                $customerResource->saveAttribute($customer, 'eligible_for_sync');

               }
            }