Change the script to ignore logins to the git user.

ssh-login-ntfy.sh

@@ -1,9 +1,8 @@
 #!/bin/bash
-# Ignore non interactive git shells like git since that's just annoying.
-if [ -z "$SSH_TTY" ]; then
+# Ignore the user git if you have one..
+if [ "$PAM_USER" = "git" ]; then
   exit 0
-fi
-
+fi=
 # Your ntfy topic URL
 NTFY_TOPIC="bla bla bla"