Rosacea — Adult Facial Erythema

A 45-year-old woman presents with a 2-year history of persistent facial flushing and visible redness over the cheeks, nose, and chin. She reports that her symptoms worsen with hot beverages, spicy foods, and sun exposure. On examination, the structure marked **A** in the diagram is noted, along with visible dilated surface vessels. There are no comedones present. Which of the following is the most likely diagnosis?