Hazel 5.2 is here with Ventura support. Please note that there is still a bug in Ventura where Hazel will not show up in the Notifications and Focus settings.
Is this still a bug in Ventura 13.2? On a new Mac Mini M2 I installed Hazel 5.2 and I'm not sure if Hazel prompted to allow Notifications. I do not see Hazel in Settings > Notifications and no notifications are displayed when rules run. I have all three notification types enabled in Hazel and the rules were exported from my MacBook which shows notifications.