Ansible: will it skip to next task if the current task failed

As documented in Error handling in playbooks :

When Ansible receives a non-zero return code from a command or a failure from a module, by default it stops executing on that host and continues on other hosts.

[...]

You can use ignore_errors to continue on in spite of the failure

From the Ansible docs:

By default Ansible stops executing tasks on a host when a task fails on that host. You can use ignore_errors to continue on in spite of the failure.

- name: Do not count this as a failure
  ansible.builtin.command: /bin/false
  ignore_errors: yes

The ignore_errors directive only works when the task is able to run and returns a value of ‘failed’. It does not make Ansible ignore undefined variable errors, connection failures, execution issues (for example, missing packages), or syntax errors.

REFERENCES:

Ansible docs: Error handling in playbooks: https://docs.ansible.com/ansible/latest/user_guide/playbooks_error_handling.html#error-handling-in-playbooks