How to Make Ansible variable mandatory

As Arbab Nazar mentioned, you can use {{ variable | mandatory }} (see Forcing variables to be defined) inside Ansible task.

But I think it looks nicer to add this as first task, it checks is app_name, app_user and app_user_group exist:

- name: 'Check mandatory variables are defined'
  assert:
    that:
      - app_name is defined
      - app_user is defined
      - app_user_group is defined