I updated to 2023.6.1 on my supervised installation. Now I woke up twice already to my HA not running anymore. Restarting the Raspi fixed the issues both time. If you run HA supervised, I advice you to wait with the update for some time. For me, I will take this as a lesson and go back to HAOS
Edit: changed version to 2023.6.1
I had to look it up because I wasn’t sure. According to what I found you should enable logger in your configuration.yaml
The default is to log warnings, you’ll want to put:
logger
default: info
Or something similar to the above. Then when it crashes you’ll want to take the SD card to another computer before HA boots back up and look at the /config/home-assistant.log file. On boot it clears that file is why you want to read it before it boots again.
Hopefully that helps