When I created one Customer Custom Attribute and changed its value website-wise from Admin-> Edit Customer Information so did not change it.


<?php
namespace Vendor\Extension\Setup\Patch\Data;

use Magento\Eav\Setup\EavSetup;
use Magento\Eav\Setup\EavSetupFactory;
use Magento\Framework\Setup\ModuleDataSetupInterface;
use Magento\Framework\Setup\Patch\DataPatchInterface;
use Magento\Customer\Model\Customer;
use Magento\Catalog\Model\ResourceModel\Eav\Attribute;
use Magento\Customer\Setup\CustomerSetupFactory;

class AddCustomerStatusAttribute implements DataPatchInterface
{
    private $moduleDataSetup;

    private $customerSetupFactory;

    public function __construct(
        ModuleDataSetupInterface $moduleDataSetup,
        CustomerSetupFactory $customerSetupFactory
    ) {
        $this->moduleDataSetup = $moduleDataSetup;
        $this->customerSetupFactory = $customerSetupFactory;
    }
    
    public function apply()
    {
        /** @var EavSetup $eavSetup */
        $customerSetup = $this->customerSetupFactory->create(['setup' => $this->moduleDataSetup]);
        $customerSetup->addAttribute(
            Customer::ENTITY,
            'customer_status',
            [
                'label' => 'Customer Approve',
                'input' => 'select',
                'required' => false,
                'sort_order' => 40,
                'visible' => true,
                'system' => false,
                'is_used_in_grid' => true,
                'is_visible_in_grid' => true,
                'is_filterable_in_grid' => true,
                'is_searchable_in_grid' => false,
                'type' => 'int',
                'source' => 'Magento\Eav\Model\Entity\Attribute\Source\Boolean',
                "note"    => "Set Approve to login"
            ]
        );

        $attribute = $customerSetup->getEavConfig()->getAttribute('customer', 'customer_status');
        
        $used_in_forms[]="adminhtml_customer";
        
        $attribute->setData('used_in_forms', $used_in_forms)
                ->setData("sort_order", 100);
        $attribute->save();
    }

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

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