3-Month Goal: Can I Get Rid of Blackheads?

Hello! I'm a prospective freshman. Honestly, there's something that makes me sigh every time I look in the mirror, just as much as acne scars. It's the blackheads on my nose and navel area. ㅠㅠ

When I was studying for the CSAT, I didn't wash my face properly, so I guess sebum built up. Even when I put on makeup, it would just float around my nose, making it look really dirty. So I tried to get rid of my blackheads at home, so I bought a strong nose pack and stuck it on and off. But it didn't get rid of the sebum at the root. Instead, the irritation from peeling it off only made my skin red and my pores feel bigger. It's frustrating because it seems like my skin has gotten worse.

Has anyone had success removing blackheads smoothly and without irritation? I looked on YouTube and found that cleansing oil is recommended, but I don't know how to do it, and it doesn't come off well. If you could recommend a truly effective method or a must-have item for removing blackheads, I'd be grateful.

I really want to get rid of my blackheads before I start school so I can walk around campus with smooth, egg-like skin!