It's the clients (web/android app, probably iOS too) that are making these requests.
To the best of my knowledge, the Immich server inside the container is not making requests to the outside. It is merely sending a style.json
to the client displaying a map, which then fetches tiles from the Cofractal URL inside this JSON.
I don't use nginx-proxy-manager, but if you want to share what you tried, I will try to help you figure what's not working