Causes and solutions for black chin in cats
Causes
① The cat's fur was not properly cleaned, resulting in the accumulation of black secretions.
②Demodex mites, fungi, and bacterial infections.
③ Recent expert studies have indicated a correlation between plastic food bowls and acne formation. It's not that changing your bowl will completely eliminate acne, but rather that it reduces the likelihood.
④ Dietary issues.
⑤ Individual issues: hormonal imbalance, food or other contact allergies, and decreased immune response. 
Solution
For simple dark spots: Apply a cotton pad soaked in warm water to the chin for half a minute (to open pores) + apply antibiotic ointment. Afterwards, develop a habit of cleaning your chin 1-2 times per week.
Not only is it black, but it's also red, swollen, and scabbed: Go to the hospital for hair removal, microscopic examination, and targeted treatment.
Black Tail
The tail secretes oil for scent marking. Therefore, the dorsal side of the tail is rich in sebaceous glands. Excessive sebum secretion can lead to oil buildup and subsequent disease.
Generally speaking, most cats don't care (it doesn't hurt or itch).
However, if secondary infections occur (some bacteria or fungi take the opportunity to invade), other symptoms may develop, such as excessive hair loss, significant itching, swelling, and rupture.
Solution
For simple oily skin: shave + wash the affected area with sebum-removing shampoo + remember to massage and rub while cleaning + pubic area + 2-3 times a week.
If the infection continues: Go to the hospital for hair removal and microscopic examination + appropriate treatment.
-In closing-
Be patient and maintain a regular cleaning routine. Simple acne cannot be completely eliminated with medication.
Adjusting your diet, paying attention to hygiene, and boosting your immunity are key.