You have your disk /dev/sdc
You need to cfdisk/fdisk it to set the flag “Linux LVM”, (flag 8E in cfdisk).
After that, you need to make this partition/device a physical volume (pvcreate /dev/sdc1) to make this device “usable” in a Virtual Group (VG).
The VG si basically a huge disk that can be partitioned in Logical Volumes (LVs).
Once is done, you need to extend the VG to include this new device (pv) => vgextend vglocal00 /dev/sdc1
Now the space is available to the VG vglocal00 and can be used to create/extend Logical Volumes (LV), which are some sort of “partitions” of the VG.
The LV is your “new device to format”.
DISK --> 8E flag --> PV ---> VG ---> LV1