Mr. Jones, a 45-year-old man, presents to his primary care physician's office complaining of persistent irritation, itching, and a gritty sensation in his eyes, predominantly affecting his right eye. He reports that these symptoms, along with noticeable scaling and crusting along his eyelid margins, began insidiously about a week ago and have been worsening. He has experienced similar episodes intermittently over the past year, which he usually manages with over-the-counter eye drops without lasting relief. His past medical history includes controlled hypertension and mild rosacea, for which he takes no regular medications. He denies any recent trauma, foreign body sensation, or changes in vision. His vital signs are stable: temperature 36.8°C, blood pressure 128/80 mmHg, pulse 70/min, respirations 14/min. Physical examination of his right eye reveals diffuse erythema and telangiectasias along the eyelid margins, with greasy scales clinging to the eyelashes. The eyelids are slightly swollen but nontender to palpation. Conjunctiva is mildly injected. Visual acuity is 20/20 in both eyes. Extraocular movements are full and painless. Funduscopic exam is unremarkable. Which of the following is the most likely diagnosis and the most appropriate initial management strategy?