A 75-year-old woman complains of a tumor in her right breast. In her left mammary gland, palpation detects no pathology. In her right mammary gland, a lumpy dense, painless, non-mobile formation was detected. The skin above the formation resembles a "lemon rind." The nipple is retracted. Axillary, subclavian, and supraclavicular lymph nodes are not palpable. What pathological condition has most likely developed in the right mammary gland of the patient?