## 1 Introduction
[PERSON] et al. [14] conducted studies using both external and internal CryoMQL. They found that external CO2 cooling causes hardening of the workpiece material, making machining more aggressive. Additionally, only slight differences were observed between the cutting forces generated during wet machining and internal CryoMQL cooling. This situation may suggest similar tool behavior for both techniques. [PERSON] et al. [15] employed several cooling strategies, such as minimum quantity lubrication (MQL), electrostatic minimum quantity lubrication (EMQL) and liquid carbon dioxide (LCO2), in combination with ultrasonic-assisted turning. They recorded that electrostatic MQL reduced wear on the flank face, while the use of liquid carbon dioxide reduced wear on the rake face. [PERSON] et al. [16] also studied the effects of cryogenic cooling and MQL on tool wear and surface quality. They tested various combinations of oil and CO2 delivery to the cutting zone. The results showed that the most advantageous method was the simultaneous delivery of oil and CO2 from the rake face. Hybrid CryoMQL cooling in the machining of Inconel 718 was also used by [PERSON] et al. [17]. Compared to dry machining, they observed a 60.6% reduction in surface roughness, a 37% decrease in cutting temperature, and a 19.5% reduction in tool wear. [PERSON] et al. [18] compared high-speed ultrasonic vibration cutting (HUVC) with conventional machining. They showed that HUVC extended tool life by up to 250%, while reducing cutting force and temperature. This method provided better surface roughness. [PERSON] et al. [19] compared two cryogenic cooling methods, LN\({}_{2}\) and LCO\({}_{2}\), with conventional cooling. They identified that one of the main reasons for the short tool life in machining Inconel 718 is the material's low thermal conductivity, leading to higher cutting temperatures. Tool life and surface quality after machining with conventional cooling and LCO\({}_{2}\) were similar. However, when LN\({}_{2}\) was used, the tool life was the shortest, and the machined surface characterized the highest roughness values. [PERSON] et al. [20] also conducted studies on the application of MQL during nickel alloy machining. They used three types of cutting fluids: nanofluid with a surfactant (reinforced nanofluid), nanofluid without a surfactant, and conventional cutting fluid (without nanoparticles). The study evaluated the average surface roughness Ra and chip morphology. The results indicated that the reinforced nanofluid improved cutting performance due to the surfactant's high ability to disperse nanoparticles in the fluid environment. [PERSON] et al. [21] questioned the use of MQL and cryogenic methods in the machining processes of materials used in the aerospace industry in their review article. The authors highlight the importance of surface integrity for machined components, which are required to be safe and reliable. Therefore, the application of MQL and cryogenic methods in industry may not be cost-effective due to the control costs associated with them. Research is also ongoing to develop new methods for manufacturing cutting inserts. The work [22] presents a comparison of cutting inserts manufactured by traditional methods and the spark plasma sintering (SPS) technique under dry and wet machining conditions. It should be noted that all the studies mentioned earlier, in which MQL or cryogenic cooling were applied, were conducted using sintered carbide cutting inserts. The reason for this is that research involving these cooling/lubrication methods is focused on their application during finish machining. On the other hand, ceramic inserts with a negative cutting edge geometry and a flat rake face are recommended for rough machining of nickel-based alloys. This situation is due to the generation of large amounts of heat in the cutting zone, which significantly worsens the surface quality of the machined part [23]. [PERSON] et al.