I want to add free shipping if there is in cart at least 5 items (products) exclusively from “stickers” category, but not if there are also products from other categories.

The following code works handling “stickers” category, but it offers free shipping when there are at least 5 items from “stickers” category and items from other categories in cart:

function filter_woocommerce_shipping_free_shipping_is_available( $is_available, $package, $shipping_method ) {
   
    /* SETTINGS free shipping TOTEBAG ONLY */
    // Set categories
    $specific_categories = array ( 'stickers' );
    
    // Set minimum
    $minimum = 5;
    
    /* END settings */

    // Counter
    $count = 0;
    
    // Loop through cart items
    foreach( $package['contents'] as $cart_item ) {
        // If product categories is found
        if ( has_term( $specific_categories, 'product_cat', $cart_item['product_id'] ) ) {
            $count += $cart_item['quantity'];
        }
    }
    
    // Condition
    if ( $count >= $minimum ) {
        $notice = __( 'Free Shipping', 'woocommerce' );
        $is_available = true;   
    } else {
        $notice = __( 'NO Free Shipping', 'woocommerce' );
        $is_available = false;      
    }
    
    // Display notice
    if ( isset( $notice ) ) {
        wc_add_notice( $notice, 'notice' );
    }
 
    // Return
    return $is_available;
}
add_filter( 'woocommerce_shipping_free_shipping_is_available', 'filter_woocommerce_shipping_free_shipping_is_available', 10, 3 );

Can somebody help to adjust the PHP code to make other products pay for shipping?