Problem SOLVED:
I have discovered the problem with the drive is USB-C and the M1 MBA. While the drive worked previously on my M1 Mac mini. when I switched to a M1 MacBook Air using a USB-C to USB A adapter the drive would not function. While the System information on the M1 MBA would see the drive, the Finder and Disk-utility would NOT.
However, I recently downgraded (or side-graded, depending on how you look at it) to a 2019 iMac with 16 GB Ram and 256 GB SSD. The difference wasn’t so much the processors as it was the ports. The similarity of the 2019 iMac and M1 Mac mini are the ports.
While, I did test several different brands of USB-C to USB-A adapters the drive simply was not being recognized by the Finder although running Parallels Desktop 18 w/Windows 11 Pro for Arm did in fact work with the drive.
My brain began to churn LOL, and I then realized the similarity between the ports on the iMac and Mac mini although the iMac does not have the HDMI port on it It does have both USB-C and USB-A ports.
1st, I decided to make sure the Intel iMac had the same version number of macOS Ventura 13.3.1 on it. then I proceeded to connect the drive with the adapter to the iMac like I did with the Mac mini, and sure enough a NO go! But wait there is more…
I then remembered that when I had my Mac mini I only had the DVD drive connected directly to one of the USB-A ports. So, after disconnecting the drive from the iMac, I reconnected it to one of the USB-A ports and BAM! it works! So, once my budget allows me to move back to an Apple silicon Mac, I know that the drive may not work so either I ditch the DVD drive altogether or I find one that is compatible. so, problem self resolved.