This package does not support Python 3.12. Please test it with Python 3.12 as a matter of urgency as the default will change in early June, as per message on gentoo-dev: https://www.mail-archive.com/gentoo-dev@lists.gentoo.org/msg99104.html. Please check the information provided in the tracker. Ask in #gentoo-python on IRC if need any help.
For your information, I tested mod_wsgi 5.0.0 with python 3.12 and it works correctly. I can run the pgadmin4 application under apache without problems.