How do I treat this cyst (or something like this) on my nose? (Photos)

I would recommend making an appointment to see a dermatologist, to better assess this spot of concern. They will be able to give you the best course of treatment to minimize scarring.

Without history, several issues must be considered.

1) If new cystic like lesion:
a. epidermal cyst (most common cyst but not common on the nose)
b. adnexal cyst (numerous other benign but less common cysts)
c. Basal cell skin cancer, (this can present as a cystic mass or solid tumor/growth)
d. if violaceous hue, rarely merkel cell carcinoma must also be considered.
2) If slow growing over decades:
a. moles can occasionally appear cystic or as a firm papule/nodule.

If acute onset, a biopsy or shave removal sending to pathology may be warranted.
During a shave removal or biopsy, the base of the lesion may suggest clues to the clinical lesion.

For a true cyst, removal of the entire cyst is necessary to cure/resolve the cyst.
With this growth, a biopsy or shave removal and sending to pathology is likely warranted especially if acute in onset.