Update, I first updated Logi Options which is much harder than it needs to be. Click More in the lower lefthand corner, Software in the lefthand options, then check for update. The problem fixed itself after the update, then returned after about an hour later.
After making sure Logi Options was closed, I deleted Logi Options and Logi Options Daemon from the Privacy -> Accessibility group. Upon relaunching Logi Options it immediately added "Logi Options" back to the group. Overnight I had a request to re-add the Daemon both to that group, and to the Input Monitoring. Some process must have run overnight to trigger this request.
Today everything has been working as long as it ever has. I think this is what you need to do if you are still having problems.