iso: launch installer via greetd initial_session (proper seat for cage)

seatd alone didn't fix it (getty-autologin gives cage no logind seat; 5x respawn
then systemd start-limit -> black). Switch to greetd's initial_session, which
creates a real logind session WITH A SEAT and auto-runs cage+calamares (no login
prompt). Calamares' striplive restores the tanin-greet greetd config on the target.
Drop the getty-autologin + /root/.zprofile hack.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

iso/overrides/airootfs/root/.zprofile

@@ -1,5 +0,0 @@
-# Live ISO: auto-launch the TANINUX installer on the first console.
-# (Removed from the installed target by Calamares' shellprocess-striplive.)
-if [[ "$(tty)" == /dev/tty1 ]] && [[ -z "$WAYLAND_DISPLAY" ]] && ! pgrep -x cage >/dev/null 2>&1; then
-  exec tanin-installer
-fi

iso/overrides/airootfs/root/customize_airootfs.sh

@@ -14,14 +14,27 @@ pacman-key --lsign-key 63F0415879323F6BFE0FBFB2B6FDF356206AF4F6
 
 # --- services in the LIVE image ---
 systemctl enable NetworkManager.service
-# seat manager for cage (the getty-autologin root session has no logind seat).
 systemctl enable seatd.service
-gpasswd -a root seat 2>/dev/null || true
-# Live boots to a console on tty1 that auto-launches the installer (cage +
-# calamares) via getty autologin + /root/.bash_profile. No display-manager.
-systemctl set-default multi-user.target
-# greetd is for the TARGET only (Calamares enables it post-install).
-systemctl disable greetd.service 2>/dev/null || true
+
+# Live: greetd auto-launches the installer (cage + calamares) via initial_session.
+# greetd creates a real logind session WITH A SEAT (the getty-autologin couldn't),
+# so cage/wlroots starts. No login prompt — the installer comes up directly.
+# (The tanin-greet package set config.toml to its greeter; we override it here for
+#  the live, and Calamares restores the tanin-greet config on the target.)
+cat > /etc/greetd/config.toml <<'GEOF'
+[terminal]
+vt = 1
+
+[initial_session]
+command = "cage -s -- calamares"
+user = "root"
+
+[default_session]
+command = "agreety --cmd /bin/zsh"
+user = "greeter"
+GEOF
+systemctl enable greetd.service
+systemctl set-default graphical.target
 
 # --- plymouth: add the hook so the target initramfs shows the splash ---
 # (Calamares regenerates the initramfs on the target; this drop-in is carried