Are you in his home, or trying to access his Mac across the Internet.
If in his home, then 10.0.0.xxx is correct.
192.168.*.* is a valid non-routing IP address
10.*.*.* is a valid non-routing IP address
172.16.*.* thru 172.31.*.* is a valid non-routing IP address.
HOWEVER, if you trying to access his Mac across the Internet, then you need 2 things.
First, the Internet visible IP address, which myip.com can give him. And that is the easy part.
Second, he has to open port 22 in his router, and set up a port forwarding rule that directs ssh connections to to his Mac’s 10.0.0.xxx address. And because every router has different instructions on how to set up port forwarding, it is difficult to give any instructions in this forum.
I have do it for my Mom’s router, and anytime something changed, would have to drive 300 miles and re-setup the router.
I also do it for my home.
And in both cases I choose a very high numbered port to open, that gets forwarded to my Mac’s port 22, because opening port 22 on the Internet facing side is like painting a target on your back.
If this is going to be a long term setup, then look at TailScale.com running on your brother’s and your Mac.
If you just want to see your brother’s computer, Chrome and Zoom have a way to share screes.
And there is always TeamViewer.com