Best way of handling uwsgi with a Deadsnakes Python version?

Question

I am running uwsgi + nginx on Ubuntu. Of course, ubuntu has perfectly good packages for uwsgi, but they use the current system Python. I'm running uwsgi against Python 3.13. Currently, I'm building it from source, but that's outside of any packaging system, which makes upgrades painful. Is there a clean way of doing this while still being within the apt or pip system?