Best thing I ever did with Tailscale was install pfsense and then Tailscale on that. I use it at work that way. I have three separate data centers (with three pfsense VMs) with advertised routes for the three separate subnets. When I install the client on one machine, I can access all three networks automatically. I did the same thing at home so I can also access that easily as well.
I think what you’re ultimately looking for is the exit node capability. Not sure if the phone can act as an exit node but pfsense definitely can. I have a VPS hosted in NY that I use to get around certain geographical restrictions. I set it as my exit node and it looks like I’m coming from there. The desktop clients can as well.
Here’s what I’d do if I were you. Install Tailscale on a machine in your house. Set it up to advertise routes based on whatever IPs you’re using in your home. In my case it’s 10.0.0.0/24. Now any device you install Tailscale on will be able to connect to that network. Another thing you can do is any machine that is connected to your Tailscale will have a 100.x.x.x address that you can connect to directly.
Hope this helps.