A 32-year-old woman is evaluated for a rash on her face and arms of 2 months' duration. The rash developed progressively and has not responded to topical moisturizers and an over-the-counter glucocorticoid. The patient also has a moderate nonproductive cough, but otherwise feels well. Medical history is significant only for a 15-pack-year smoking history, although she quit smoking 4 months ago. She takes no medications.

On physical examination, vital signs are normal. BMI is 32. The lungs are clear. Skin findings are shown.

Her hair is normal, and she has no scarring or lesions in the ears or on the cheeks.

A chest radiograph is shown.

Which of the following is the most likely diagnosis?