EPITOME-1015-I: a Study to Investigate the Safety and Tolerability of MDG1015 in Patients with Epithelial Ovarian Cancer, Gastroesophageal Adenocarcinoma, Round Cell Liposarcoma And/or Synovial Sarcoma

MDG1015 is a third generation TCR-T therapy product targeting NY-ESO-1/LAGE-1a armored and enhanced by the PD1-41BB costimulatory switch protein (CSP). The study purpose is to establish the safety, tolerability and preliminary efficacy of MDG1015 in patients with epithelial ovarian cancer, gastroesophageal adenocarcinoma, round cell liposarcoma and/or synovial sarcoma that expresses NY-ESO-1 and/or LAGE-1a. The main questions this clinical trial aims to answer are: Can this TCR-T therapy MDG1015 be given to patients safely? What is the optimal dose of the TCR-T therapy MDG1015? If and what side effects do participants experience after receiving the TCR-T therapy MDG1015? Do participants experience a potential disease response after receiving the TCR-T therapy MDG1015? Participants will: Receive (in most cases) 1 single infusion of MDG1015 at a pre-defined dose level and will be followed up regularly up to 1 year. After one year, participants will enter the long term follow-up part up to 15 years after being treated. Any side effects and/or potential disease response will be documented during this period.