Blackheads on my nose keep coming back even after I remove them. How should I manage this?

I notice small, black spots inside my pores around my nose, so I am curious about how to manage blackheads. Even if I wash my face thoroughly, it doesn't look completely clean, and it seems like similar spots reappear after some time, even after I remove the sebum.

I am wondering if the right approach is to keep removing blackheads, or if I should focus on managing the sebum buildup in my pores itself.

I am worried about using nose strips or strong sebum removal products frequently because I heard they can irritate the skin.

Especially the side of the nose is an area where the skin can easily turn red, so I want to avoid rubbing or squeezing it too hard.

I am curious about how dermatologists assess and manage blackheads. Should I differentiate between blackheads caused by oxidized sebum and the sebaceous glands naturally visible on the nose when managing them? I would like to know a method for consistent care that is less irritating to the skin.

I am also wondering if it is possible to receive treatment that takes into account the pores on the cheeks as well as the area around the nose.