Proposing for a blocker discussion. There are two problems:
1) The logout/reboot/poweroff doesn't happen (you might be relying on that in some cases, I guess. Sending acpi signals to remote machines? Something like that).
2) It's not clear how to get out of the broken state. So if you click logout/reboot/poweroff and then turn around to a colleague/somebody and return back after more than 60 seconds, you don't know how to quit the session.
*** Bug 2176536 has been marked as a duplicate of this bug. ***
Discussed during the 2023-03-13 blocker review meeting: 
The decision to classify this bug as an "AcceptedBlocker (Final)" was made as a conditional violation of the following criterion:
"Shutting down [etc]...must work using...the mechanisms offered (if any) by all release-blocking desktops" in the case where you wait for the automatic action to happen after the timeout.
FEDORA-2023-26137c2392 has been submitted as an update to Fedora 38. https://bodhi.fedoraproject.org/updates/FEDORA-2023-26137c2392
The fix for this was backported in gnome-shell-44.0-2.fc38, which is in the 44 megaupdate. Please test and confirm it. Thanks!
FEDORA-2023-26137c2392 has been pushed to the Fedora 38 testing repository.
You can provide feedback for this update here: https://bodhi.fedoraproject.org/updates/FEDORA-2023-26137c2392
See also https://fedoraproject.org/wiki/QA:Updates_Testing for more information on how to test updates.
(In reply to Fedora Update System from comment #3)
> FEDORA-2023-26137c2392 has been submitted as an update to Fedora 38.
FEDORA-2023-26137c2392 has been pushed to the Fedora 38 stable repository.
If problem still persists, please make note of it in this bug report.