Why doesn't the checkbox saving the values?

Question

Previously I had a checkbox whose default value was checked automatically.

Then I want the checkbox to appear based on certain conditions as described below.

 function action_woocommerce_product_options_inventory_product_data($product) {

 if (is_product()){
 return;
 }
 $product = wc_get_product();
 $id = $product->get_id();

//calculating the active period of the product by attribute
$package =  $product->get_attribute( 'pa_package' );
//echo $package;
    switch($package){
            case 'Silver':
            $var = 1*24*60*60;
            break;              
            case 'Gold':
            $var = 60*24*60*60;
            break;
            case 'Platinum':
            $var = 90*24*60*60;
            break;      
            default:
            $var = 1*24*60*60;
            break;
            }

    // Get the date for the product published and current date
    $datetime_created  = $product->get_date_created(); // Get product created datetime
    $timestamp_created = $datetime_created->getTimestamp(); // product created timestamp

    $datetime_now      = new WC_DateTime(); // Get now datetime (from Woocommerce datetime object)
    $timestamp_now     = $datetime_now->getTimestamp(); // Get now timestamp

    $time_delta        = $timestamp_now - $timestamp_created; // Difference in seconds

    if( $time_delta > $var ){
                
 add_action( 'woocommerce_product_options_inventory_product_data', 'action_woocommerce_product_options_inventory_product_data', 10 );                   
global $product_object;
// Get meta
$value = $product_object->get_meta( '_ads_expired' );
// Checkbox
woocommerce_wp_checkbox( array( 
    'id'            => '_ads_expired', // Required, it's the meta_key for storing the value (is checked or not)
    'label'         => __( 'Ads Expired', 'woocommerce' ), // Text in the editor label
    'desc_tip'      => false, // true or false, show description directly or as tooltip
    'description'   => __( 'Check if product expired', 'woocommerce' ), // Provide something useful here
    'value'         => empty( $value ) ? 'yes' : $value // Checked by default
        
) );

 add_action( 'woocommerce_admin_process_product_object', 'action_woocommerce_admin_process_product_object', 10, 1 );        
 // Save Field
 function action_woocommerce_admin_process_product_object( $product ) {
 // Update meta
 $product->update_meta_data( '_ads_expired', isset( $_POST['_ads_expired'] ) ? 'yes' : 'no' );

 }

 }else{
                
            }
 }

The check box correctly showing on each product (Example is here > the check box has showing on the product that has a packages attribute with a silver value with the default check box display / has been checked).

But in reality it doesn't store value.

What am I missing here?

Essentially I want the product to have a checkbox which is auto-checked based on the time of product creation.

Please help me,

Thank You