to 4-port SATA III Adapter will it work?

Some motherboards will only have one slot that can run at NVMe PCIe bandwidth, whereas others may be restricted to using SATA bandwidth

The slot on your motherboard accepts only M2 SATA3 SSDs from your preferred brand and capacity From service manual Support for SATA SSD

m2 slot types is a formfactor It can be both SATA and NVMe With the use of a 960 normally disable 2 sata ports only the manual will

m2 pcie 40 in 30 slot 2 SSDs are more affordable than NVME SSDs, and for motherboards that don't have room for a drive, SATA is a great alternative