Reduce the load before chasing a rating
Temperature is only part of summer comfort. High indoor humidity reduces the body's ability to cool through evaporation and can make a reasonable air temperature feel uncomfortable.
When the home feels damp, occupants often lower the thermostat, increasing cooling runtime without necessarily correcting the underlying moisture problem.
Air-conditioning dehumidification depends on coil conditions, airflow and run time, while building moisture sources and outdoor-air leakage also affect indoor humidity.