8 – How do I pass dynamic parameters to a service?

Is it possible to pass dynamic parameters when calling a service?

mymodule.services.yml

services:
  my_module.default:
    class: DrupalservicesDefaultService
    arguments: ('@entity_type.manager')

DefaultService.php

namespace Drupalmy_module;
use DrupalCoreEntityEntityTypeManagerInterface;

/**
 * Class DefaultService.
 */
class DefaultService implements DefaultServiceInterface {

  /**
   * DrupalCoreEntityEntityTypeManagerInterface definition.
   *
   * @var DrupalCoreEntityEntityTypeManagerInterface
   */
  protected $entityTypeManager;

  private $myValue;

  /**
   * Constructs a new DefaultService object.
   */
  public function __construct(EntityTypeManagerInterface $entity_type_manager) {
    $this->entityTypeManager = $entity_type_manager;

    //how set $myValue?
    // $this->myValue = ???
  }

}

Is there a way to dynamically set myValue when calling this service, for example while calling the service from hook_ENTITY_TYPE_update(), passing the $entity->id() value?

I’ve found similar questions, such as How do I pass parameters to a service? or Create service with argument, but they don’t answer my problem.