Here is log, it looks like it was updated successfuly:

--------- 2023-09-01T12:31:11+00:00

13.0.0-13.1.0.B1 upgrade will be applied

Files permissions are ok and can be overwritten

Files copying successfully completed

Deprecated files were successfully deleted or there is no files to delete

System files hash was successfully updated

System SQL script was successfully executed

The following languages will be affected for system:

 - No languages will be affected

System after update custom script was successfully executed

--------- 2023-09-29T17:41:08+00:00

13.1.0.B1-13.1.0.B2 upgrade will be applied

Files permissions are ok and can be overwritten

Files copying successfully completed

Deprecated files were successfully deleted or there is no files to delete

System files hash was successfully updated

System SQL script was successfully executed

The following languages will be affected for system:

 - No languages will be affected

System after update custom script was successfully executed