I'm curious about acne skin care during the change of seasons.

I have skin that is prone to acne to begin with, but during times like these when the weather changes, my skin feels oily on the surface yet dry underneath, making it seem even harder to manage.
In particular, there are times when my skin suddenly stings or breaks out like small bumps even when I use cosmetics that were usually fine, but if I use only very mild products, my skin feels dry and rough, so I don't know what criteria to use for skincare.
Since I have acne-prone skin, I'm worried that moisturizing too much might actually worsen breakouts, but on the other hand, if I leave it dry, my skin barrier seems to break down and become more sensitive.
I am wondering if it is a good idea to change my facial cleanser or basic skincare products little by little depending on the season.
Could you share any methods, products, or lifestyle habits you found effective for managing acne-prone skin during the change of seasons?
I'm also curious about the best way to care for skin like mine that feels both oily and dry. Please share some tips from those with experience.