for anyone looking for the answer. I was able to get it working see below:
I was able to get tailscale working after reading many comments it all started to click in my mind and I realized it needed a full url say blabla.local/api… so i was able to adguard home add a dns entry for blabla.local using my tailscale device ip. Reverse proxy on the device aiming the tailscale ip to blabla with the port. Then i found a comment in github comments of old issues the dev mentioned in the data folder of the config files you can change the ip that the api listens so i just changed from local ip to tailscale ip refreshed and it all worked. With no issue to my home browser but api working with tailscale on mobile.
for anyone looking for the answer. I was able to get it working see below: I was able to get tailscale working after reading many comments it all started to click in my mind and I realized it needed a full url say blabla.local/api… so i was able to adguard home add a dns entry for blabla.local using my tailscale device ip. Reverse proxy on the device aiming the tailscale ip to blabla with the port. Then i found a comment in github comments of old issues the dev mentioned in the data folder of the config files you can change the ip that the api listens so i just changed from local ip to tailscale ip refreshed and it all worked. With no issue to my home browser but api working with tailscale on mobile.