1st Found this link in support for The OS issue of not reinstalling Use Disk Utility to erase an Intel-based Mac - Apple Support
Actually had to use the Option-Command-R and it took Found a web connection and Download Recovery files from apple thankfully. I had to take time to run Apple first Aid on every hard drive to make sure things were good. I had kept getting a OS corruption Notice on a previous Version that came with the computer. It still would not instal. Had a message of failure every time. The last ditch effort was to try the combination of Option-Command-R which worked this time thankfully.
Unfortunately the only thing now is I could not downgrade from Sonoma, had to reinstall Sonoma which has gotten the Mac back now.
Now back to the original problem at hand...
Mac Screen output recognizing Screens, but Blackmagic ATEM 1 M/E Production Studio 4K not allowing/receiving the output of the Mac to be seen in the Switcher.
I will comment again with what response from BM support, as well as trying to setting options on video output with Mac OS Sonoma that may or may not be there depending on which article you read on here. Ok here is to the next step. Good luck to anyone having the same issues.