In order to fix the error:

Welcome to NetBSD!

No entry for terminal type "xterm-ghostty";
using dumb terminal settings.

Create the database on your machine

$ infocmp -x xterm-ghostty > /tmp/ghostty.ti

Copy to the server

$ scp  /tmp/ghostty.ti user@ip.local:~

Log in on the server

$ ssh user@ip.local

On the server

$ tic -x ghostty.ti
$ mv ghostty.ti.cdb ~/.terminfo