A turbine engine system and a method for using the turbine engine system that includes at least one low-pressure compressor, at least one high-pressure compressor, at least one low-pressure turbine, and at least one high-pressure turbine. In addition, the turbine engine system includes an absorption refrigeration system that is used to pre-cool an air-gas mixture before it enters the high-pressure compressor. As such, the pre-cooled mixture is easier to compress, thereby increasing the thermal efficiency of the turbine engine. Additionally, the exhaust heat from the air-gas mixture that is pre-cooled may be used to drive the absorption refrigeration system. Lastly, water, may be extracted from the evaporator of the absorption refrigeration cycle.