You're welcome, Nairobian.
For others who may not be having success with recovering a previous version from Time Machine backup:
1) Launch the broken Messenger app.
2) Go to Messenger > Check for Updates... and disable the automatic updates if listed as an option. This will set the app's preference file. If you don't do this, then as soon as you launch the app after recovery it will immediately update to the broken version again and you'll be right back where you started.
3) Quit the app and drag it to the trash and empty the Trash.
4) Launch the Time Machine app and recover your earlier working version of Messenger; pre-Feb 2023 (?).
When the earlier app is recovered your chats history list should display again.
Eventually Meta should release a newer version that fixes what they broke, hopefully soon.