What do you call a person who has nails like that?

Answer
A person with nails showing this specific appearance—characterized by a bluish tint to the nail beds and widening or rounding of the fingertips—is experiencing a clinical sign known as cyanosis and digital clubbing. Collectively, these signs often indicate that the person is hypoxic, meaning they have low levels of oxygen in their blood. In a medical context, such a person might be referred to as 'cyanotic'. This condition can be a symptom of various underlying health issues, most commonly chronic lung diseases (like COPD or cystic fibrosis) or congenital heart defects that result in poor oxygenation of the blood.