Bleeding mole after wiping face with a rough towel

Has anyone experienced a bleeding mole on the nose? Mole is raised, black, circle, and about 4mm in size. Nag bleed siya after 3 days may pus na lumbas.
Skin Type: fair
Age/Gender: 36/F
Current Skincare Routine: just the regular cleanser and moisturizer
Main Concern: bleeding mole after wiping face with a rough towel
Lifestyle Factors: nothing
Budget: N/A
Additional Info: N/A