The outdoor unit not running while the indoor fan works may involve a capacitor, contactor, or motor issue

https://localairconditioningcooling223.fotosdefrases.com/home-cooling-emergency-steps-to-take-after-an-ac-breakdown

The outdoor unit not running while the indoor fan works may involve a capacitor, contactor, or motor issue. Do not open panels yourself; call a qualified technician.