CCCA Assessed by Ki67 Drop Below <2.7% From Baseline

This is a multicenter, prospective, open-label, randomized phase II study to evaluate the CCCA assessed by Ki67 drop below \&lt;2.7% from baseline to week 2 (window of opportunity) and to week 10 with capivasertib plus fulvestrant compared with fulvestrant alone as neoadjuvant treatment for primary high-risk lobular breast cancer patients. 120 patients will be randomized to receive: \- Capivasertib (400 mg po twice daily d1-4 followed by 3 days off) for 2 weeks followed by capivasertib (400 mg po twice daily d1-4 followed by 3 days off) and fulvestrant (500 mg i.m. q28d, with an additional 500 mg dose given two weeks after the initial dose) for additional 8 weeks (overall 4 administrations of fulvestrant) or \- Fulvestrant (500mg i.m. q28d, with an additional 500 mg dose given two weeks after the core biopsy and the initial dose) for 10 weeks (overall 4 administrations) Treatment will be given until surgery/core-biopsy, disease progression, unacceptable toxicity, or withdrawal of consent of the patient. All patients will undergo core-biopsies, under treatment and after completing study therapy in order to assess Ki67%. Further treatment including surgery, (neo)adjuvant chemotherapy, radiotherapy, and (neo)adjuvant endocrine therapy will be administered at the discretion of the investigator and according to standard of care outside the clinical trial.