A 45-year-old man presents to an outpatient clinic with a chief complaint of a persistent lump on his right upper eyelid for the past four months. He describes it as a painless, firm swelling that developed gradually. He has tried applying warm compresses at home for several weeks, but the lump has not resolved and appears to have slightly increased in size. He denies any associated pain, redness, itching, discharge, or vision changes. His medical history is notable for mild rosacea. On physical examination, there is a firm, non-tender, non-erythematous nodule palpable on the superior tarsal plate of the right upper eyelid, approximately 6 mm in diameter. Eversion of the eyelid confirms the lesion is arising from the tarsal conjunctiva. The remainder of the eye examination is unremarkable. Given this patient's presentation, what is the most likely diagnosis and the appropriate initial management strategy?

A 45-year-old female accountant presents to an outpatient clinic with a persistent lump on her right upper eyelid. She first noticed the mass approximately six weeks ago, and it has remained constant in size, feeling firm and not causing any pain. Her medical history includes chronic dry eye syndrome, recurrent episodes of eyelid inflammation consistent with blepharitis, and a prior basal cell carcinoma on her arm that was successfully excised five years ago. Her vital signs are stable: temperature 37.1°C, blood pressure 140/90 mmHg, pulse 78/min, respirations 16/min, and oxygen saturation 99% on room air. On physical examination, a 4 mm firm, non-tender, rubbery, mobile nodule is palpated within the tarsal plate of the right upper eyelid, not involving the lash line. There is no surrounding erythema, warmth, or discharge. The remainder of her ocular examination is unremarkable. Given this presentation, what is the most appropriate initial management strategy, and what concerning long-term complication should be considered if this lesion frequently recurs?

A 62-year-old man presents to his primary care physician's office with a persistent, firm lump on his right upper eyelid that has been present for approximately four months. He initially noticed it as a small, non-tender nodule that has gradually enlarged. Despite adherence to warm compresses and gentle massage for several weeks as initially advised, the lesion has not resolved. He reports no pain, redness, or discharge, but has noticed a progressive thinning and loss of eyelashes in the area surrounding the lump. He has a history of well-controlled hypertension and denies smoking. On physical examination, there is a 7 mm x 5 mm firm, non-tender, yellowish nodule on the right upper eyelid, with associated madarosis (loss of eyelashes) in the affected region. The conjunctiva appears unremarkable, and visual acuity is 20/20 in both eyes. Considering the patient's presentation, what is the most likely diagnosis and the definitive management approach?