Cannot reinstall macOS from Recovery partition

I have an iMac - Oct 2015, 27” 5K display, External OWC SSD, OS 11.5.1
About 6 months ago, the iMac’s internal HD, a 1 TB Fusion HDD - for lack of a more precise description - started acting “flaky” and I decided it was time to stop relying on it. I purchased an external OWC 500 GB SSD and all has been well since.
For the record, I also have an OWC Dual Dock Drive with two HDDs devoted to alternative TM backups.
I decided I might as well get some use out of that internal Fusion HDD so I shut down, detached the OWC SSD, booted up in Internet Recovery Mode and did my best to erase the Fusion HDD before reinstalling the macOS. This may have been a mistake.
Disk Utility Screenshots of that Fusion HDD.

That done, still in Recovery Mode, I went back to macOS utilities and chose Reinstall macOS.
macOS Sierra was what was offered - the macOS my iMac came with. I clicked on Continue, saw the drop-down noting Loading installation information, then Agree.
And here is where things stalled out. I got the macOS Sierra window and Select the disk you want to install macOS.
I waited and waited and waited but no disk was forthcoming and so I could not choose Continue to move forward.
If any one is having a quiet weekend and can offer any suggestions/see anything I have done wrong, I’d greatly appreciate your input.

I stumbled around until I finally figured it out via hit and miss.

I restarted in Recovery Mode, erased Fusion HD, and still in Recovery Mode, tried to reinstall the macOS and failed.

Tried to reinstall from a Time Machine backup and failed.

I recalled having an old DW Recovery stick. Used that, and was able to install Sierra. Rebooted in Sierra and updated to Big Sur. Rebooted again and ran Migration Assistant to move all my data from my Time Machine backup.

Thanks so much for the feedback