<prompt> Please answer with one of the option in the bracket. Write reasoning in between . Write answer in between .Q:A 34-year-old Ethiopian woman who recently moved to the United States presents for evaluation to a surgical outpatient clinic with painful ulceration in her right breast for the last 2 months. She is worried because the ulcer is increasing in size. On further questioning, she says that she also has a discharge from her right nipple. She had her 2nd child 4 months ago and was breastfeeding the baby until the pain started getting worse in the past few weeks, and is now unbearable. According to her health records from Africa, her physician prescribed antimicrobials multiple times with a diagnosis of mastitis, but she did not improve significantly. Her mother and aunt died of breast cancer at 60 and 58 years of age, respectively. On examination, the right breast is enlarged and firm, with thickened skin, diffuse erythema, edema, and an ulcer measuring 3 × 3 cm. White-Gray nipple discharge is present. The breast is tender with axillary and cervical adenopathy. Mammography is ordered, which shows a mass with a large area of calcifications, parenchymal distortion, and extensive soft tissue and trabecular thickening in the affected breast. The patient subsequently undergoes core-needle and full-thickness skin punch biopsies. The pathology report states a clear dermal lymphatic invasion by tumor cells. Which of the following is the most likely diagnosis?? A: Lobular carcinoma in situ LCIS, B: Inflammatory breast cancer, C: Ductal carcinoma in situ DCIS, D: Infiltrating lobular carcinoma, E: Infiltrating ductal carcinoma,  <response>: This is a clinical case scenario describing a 34-year-old woman with a painful ulceration and discharge from her right breast. She has a family history of early-onset breast cancer in her mother and aunt. Imaging shows a mass with calcifications and biopsy reveals dermal lymphatic invasion by tumor cells. The key findings pointing to inflammatory breast cancer are: - Rapid onset of breast erythema, edema, and peau dorange appearance- Tender, enlarged breast with diffuse skin thickening - Pathology showing dermal lymphatic invasionThe other options can be ruled out:- LCIS and DCIS are non-invasive cancers without lymphatic invasion - Infiltrating lobular and ductal carcinomas typically lack the rapid diffuse inflammatory changes describedB: Inflammatory breast cancer 