Testing packaging which targets multiple distributions? - eviltoast

I am working on creating deb/rpm packages for an OSS tool I use. So far, I have been manually testing each deb/rpm in a virtualbox live cd version of that OS but it’s tedious to do that for every release. This is a GUI tool, I basically just need to confirm that the apt install goes correctly and the program can actually launch. There is a systemd service associated with it I’d also like to check the existence/status of. In the future, we may make a flatpak as well.

Are there any tools to automate this process? Or maybe if it can’t test the GUI functionality it can at least install and take a screenshot and I can review the screenshot?