I just received a notice to update to 13.0.1. After the update Lightroom does not open at all!!
I am re-uploading 13.0...
No issues for me on Mac (Sonoma). Are you on the macOS?
Try logging into another Mac user account (you should make a new one); does it open?
Try starting up in Safe mode (hold down Shift Key when booting*); still an issue?
* How to start your M1/M2 Mac in Safe Mode
On your Mac, choose Apple menu () > Shut Down.
After your Mac shuts down, wait 10 seconds.
Press and hold the power button until the startup disks and Options appear.
Press and hold the Shift key, then click Continue in Safe Mode.