The /e/OS version 1.13 is not to be confused with underlying Android 13.
Android 13 (T) is announced to come with /e/OS 1.14, at least on devices ready for /e/OS based on Android 13 (T), other supported devices should get /e/OS 1.14 based on their respective current underlying Android version.
You can follow announcements at https://community.e.foundation/tag/development-updates.
The Poco F3 “alioth” was mentioned to have missed /e/OS 1.12.3 here … Week 27, 2023: Development and Testing Updates … but the 1.13 release is fresh and not rolled out to every device yet, I guess, see in the first post.