On Day 0, patients ≥40 kg will receive the minimum cell dose of at least 1x10⁹ transduced NY-ESO-1ᶜ²⁵⁹T cells with a maximum of 6x10⁹ transduced cells. The target dose for this protocol is 5x10⁹ transduced NY-ESO-1ᶜ²⁵⁹T cells. Patients <40 kg will be dosed per body weight with a minimum 0.025x10⁹ transduced cells/kg, with a target dose of 0.125 x10⁹ transduced cells/kg.