How to change assigned group of a custom product attribute?

I have a custom product attribute which is under Advanced Pricing group . I am trying to change attribute group of this attribute via data patch using below code :

< ?php

namespace VendorModuleSetupPatchData;

use MagentoFrameworkSetupPatchDataPatchInterface;
use MagentoFrameworkSetupPatchPatchInterface;
use MagentoEavSetupEavSetupFactory;
use MagentoFrameworkSetupModuleDataSetupInterface;

class UpdateCustomAttributeGroup implements DataPatchInterface
{

    /**
     * @var EavSetupFactory
     */
    private $eavSetup;
    /**
     * @var ModuleDataSetupInterface
     */
    private $moduleDataSetup;

    public function __construct(
        EavSetupFactory $eavSetupFactory,
        ModuleDataSetupInterface $moduleDataSetup
    )
    {
        $this->eavSetup = $eavSetupFactory;
        $this->moduleDataSetup = $moduleDataSetup;
    }

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

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

    /**
     * @inheritDoc
     */
    public function apply()
    {
        $eavSetup = $this->eavSetup->create(['setup' => $this->moduleDataSetup]);
        $eavSetup->updateAttribute(
                'catalog_product',
                'custom_attribute_code',
                'group', 
                'General'
        );

    }
}

Above code isn’t impacting already assigned group of this attribute. How to update group of any product attribute programatically? Please note, this attribute might be assigned to multiple attribute set.