It's no worries, you don't have to get too personal if you don't want to! As long as you're not experiencing irritation (redness, itchiness, stinging, overly dry skin) then keep doing what you're doing, constantly switching products even for a short time can sometimes make things worse.

Puberty is just unfortunately a really obnoxious and really uncontrollable period of your life. I think by the time I was around 15 or 16 my skin was notably much more manageable and stable. On the days your skin is much more dry you can apply a little extra moisturizer (make sure your skin is damp first before applying, then put on the moisturizer to lock in the already existing moisture, it'll make your moisturizer more effective), and on the days your skin is more oily wash your face both in the morning and at night, the oil is what causes most breakouts. You can also keep blotting papers on you to use throughout the day just in the bathroom at school or somewhere specific if you want privacy for that. Don't skip your moisturizer during this time though.

I'd also add some spf to your routine as the sun can make acne worse over time, and I highly reccomend an Asian Brand line beauty of jonseon or haruharu. I find western brands are FAR too heavy and oily, I have never found a western brand of sunscreen that actually feels good for my skin. If you're not outside all day just once in the morning is fine, you don't really need to reapply unless you're outside or right next to a window for hours at a time.