I have the same issue with macbook 16 m1 pro and Kaspersky Plus (ventura 13.3.1)
After installing kaspersky plus it takes mac os 1 min in my case to login to system.
After uninstalling kaspersky plus mac os logins immediately after password provided.
Before kas plus I had Kaspersky internet security installed and I DID NOT face such issue with kis - my user logged in right after password entered.
This topic is marked as solved incorrectly.
Problem is reproducible and must be solved on the side of kaspersky