There is a recent fwupd issue reported for Fedora 39.
Does this old fwup Issue 1951 seem relevant – maybe a regression. Note the times the issue occurs and use journalctl to look for messages correlated with the issue.
Do you see messages similar to
fwupd[...]: ... FuPluginLogitechHidpp failed to ping MX Master 3S: connection request failed
fwupd[...]: ... FuPluginLogitechHidpp failed to get pending read: connection request failed