A Study of LN-144 or LN-145 in People With Advanced Uveal Melanoma, Undifferentiated Pleomorphic Sarcoma, or Dedifferentiated Liposarcoma

Inclusion Criteria: Cohort 1: Must have a confirmed diagnosis of metastatic Uveal Melanoma. * Patients will be eligible regardless of the number of prior systemic therapies received. * Cohort 2: Must have a confirmed diagnosis of unresectable or metastatic undifferentiated pleomorphic sarcoma (UPS) or dedifferentiated liposarcoma (DDLPS) that is refractory to at least 1 prior line of systemic therapy * Unresectable disease will be defined by an expert sarcoma surgical onocologist as either (a) low liklihood of obtaining an R0 resection or (b) unacceptable morbidity from a surgical procedure * Prior systemic therapy in the neoadjuvant or adjuvant setting will count has prior systemic therapy * Patients who refuse standard of care chemotherapy will be eligible * One (1) lesion at least 1.5cm in size (solitary or aggregate) available for TIL harvesting that has not undergone prior embolization or RT in prior 3 months unless subsequent growth is demonstrated (at least 0.5cm). * Patients must be ≥ 18 years of age at the time of consent. * Patients must have an Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1 * Patients must have an estimated life expectancy of ≥ 6 months in the opinion of the Investigator. * Patients must have the following hematologic parameters: * Absolute neutrophil count (ANC) ≥ 1000/mm3 * Hemoglobin (Hb) ≥ 9.0 g/dL * Platelet ≥ 100,000/mm\^3 Note: Transfusions or growth factors are not allowed 28 days prior to signing the…