Depending on your local climate, I'm not sure the ceiling fan advice works any more. Not on 39-40 C summer days.
Just use both! A ceiling fan will certainly reduce your dependence on A/C, if it doesn't eliminate it.
Source: other people, so not very reliable
Edit: the click-through link actually mentions 3-8 degrees
https://en.wikipedia.org/wiki/2023_Asia_heat_wave
~200 deaths and ~450 hospitalizations is "works"?