I would probably just skip the Lemmy Easy Deploy and just do a regular deployment so it doesn't mess with your existing. Getting it running with just Docker is not that much harder and you just need to point your NGINX to it. Easy Deploy kind of assumes it's got the whole machine for itself so it'll try to bind on the same ports as your existing NGINX, so does the official Ansible as well.
You really just need a postgres instance, the backend, pictrs, the frontend and some NGINX glue to make it work. I recommend stealing the files from the official Ansible, as there's a few gotchas in the NGINX config as the frontend and backend share the same host and one is just layered on top.