There are many modules that promise to put the tabs in the admin toolbar.
This one just adds the edit button.
https://www.drupal.org/project/toolbar_edit_button
This one adds all the tasks, but has a caching problem.
https://www.drupal.org/project/entity_tasks
https://www.drupal.org/project/entity_tasks/issues/3101689
And another one.
https://www.drupal.org/project/tab_toolbar
More tabs.