I think…
You need to change the Heimdall urls to the the tailscale urls. I’ll update this post soon.
My old set up has openmediavault as the base system.
I installed tailscale directly to that base system. (The OS)
My old ip links in Heimdall stopped working.
From memory… You need to go to the tail scale website dashboard. Iirc by default you have some random numbers as your tailscale URL. The other option is to use their magic DNS which gives you random words as a URL. Either way you will need to edit you Heimdall links. So if it’s currently http://192.167.1.1:8096 you need to change it to http://buffalo-cow.tailscale:8096. (Or something to that effect.)
What I did was just duplicate my current Heimdall and used a different port number… Then change all the urls to the tailscale urls.
Your current containers should remain untouched aside from the the Heimdall one with the correct app urls.
Edit: I think an example of the tailscale URL with magic DNS enabled would be something like this. https://amelie-workstation.pango-lin.ts:8096
Esc? From the second you press power?