Primary Outcomes:

Primary Outcome 1 - Measure: Number of subjects with treatment -related adverse events (AEs), including serious adverse events (SAEs) as assessed by Common Terminology Criteria for Adverse Events (CTCAE) version 5.0

Primary Outcome 1 - Time Frame: 2.5 years

Primary Outcome 2 - Measure: Evaluate safety of ADP-A2M4CD8 through measurement of Replication -competent Retrovirus in genetically engineered T-cells

Primary Outcome 2 - Time Frame: 15 years

Condition:

• Synovial Sarcoma
• Myxoid/Round Cell Liposarcoma (MRCLS)
• Melanoma
• Urothelial Carcinoma
• Head and Neck
• Ovarian
• Gastric Cancer
• Esophagogastric Junction Disorder
• Nonsmall Cell Lung Cancer
• Esophageal Cancer

Eligibility

Criteria:
- Key Inclusion criteria

- Age ≥18 and ≤ 75 years

- Histologically or cytogenetically confirmed diagnosis of urothelial cancer, melanoma,
ovarian cancer, esophageal , esophagogastric junction (EGJ) cancer, gastric cancer,
non-small cell lung carcinoma (NSCLC), head and neck, synovial sarcoma or myxoid/round
cell liposarcoma (MRCLS)

- Measurable disease according to RECIST v1.1 prior to leukapheresis and
lymphodepletionHLA-A*02 positive.

- Tumor shows MAGE-A4 expression as confirmed by central laboratory

- ECOG Performance Status of 0 or 1.

- Left ventricular ejection fraction (LVEF) ≥50% or the institutional lower limit of
normal range, whichever is lower Note: other protocol defined Inclusion/Exclusion
criteria may apply

Key exclusion criteria

- Positive for HLA-A*02:05 or HLA-A*02 allele other than A*02:07 or A*02 null allele

- History of allergic reactions attributed to compounds of similar chemical or biologic
composition to fludarabine, cyclophosphamide or other agents used in the study

- History of autoimmune or immune mediated disease

- Leptomeningeal disease, carcinomatous meningitis or symptomatic CNS metastases

- Other prior malignancy that is not considered by the Investigator to be in complete
remission. Clinically significant cardiovascular disease

- Uncontrolled intercurrent illness

- Active infection with human immunodeficiency virus, hepatitis B virus, hepatitis C
virus, or human T cell leukemia virus

- Pregnant or breastfeeding

Note: other protocol defined Inclusion/Exclusion criteria may apply.
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Gender: All

Minimum Age: 18 Years

Maximum Age: 75 Years

Healthy Volunteers: No