How do I prevent mold growth on my shower ceiling?

Daily spray it with mleach

spray with a bathroom cleaner that prevents mold. Also - as a long term solution, be sure your fan is on in your bathroom to help get rid of humidity.

Run a good quality bathroom exhaust fan during shower and for a minimum of 20-30 min. afterward.

Dry ceiling and walls with a squeegee or microfiber cloth. Use bath linens that are not washed with fabric softener.

Plain old white vinegar.

https://www.servicemaster-restoration-cleaning.com/2017/03/mold-myths/

https://restorationmasterfinder.com/restoration/what-kills-mold-bleach-vs-vinegar/

Use the exhaust fan, crack a window, even a portable fan will help.

You need better ventilation plus dilute javex in water and wipe down do this daily to get a hold on the mould then weekly. I do not think vinegar is strong enough as mould is very toxic.

Apparently I am wrong about using bleach for mold I just read the above. Should have read it first.

i am in an apt and have a ceiling fan I also use a floor fan to dry out my bathroom after shower/etc.

I saw that my neighbour's bathroom had mold. They called in the builder to have a look at it as it was a new apartment. The builder removed the mold with some chemicals. Then painted a mold resistant primer and 2 coats of mold resistant paint and there was no problem with mold after that. You can check with a hardware store new you. Hope this helps.