Looks like you provision a fresh tailnet host for each clone? You mention multi-tenancy via subdomain routing and I wonder if this is unrelated.
The subdomain routing then works by pointing to that ephemeral machines ip, and my site in dev mode populates the sidebar with active links for this so it's not like I have to keep updating bookmarks etc. Super convenient. It's probably the weakest part of the setup (no https) but works fine for my needs.