fix(greetd): password-then-FIDO order; add ReGreet background tool

greetd's PAM stack included system-login, whose own pam_u2f line runs
before the password stack — combined with greetd's own trailing
pam_u2f line, ReGreet prompted FIDO, then password, then FIDO again.
Spell out system-login's auth phase minus that stray line so FIDO is
asked once, after the password, matching hyprlock's order.

Also add setup/tools/set-regreet-background.sh to pin a specific image
as the greeter background, independent of the wallpaper-sync unit.

etc-greetd/pam.d-greetd

@@ -2,14 +2,24 @@
 # PAM stack for the greetd/ReGreet greeter.
 #
 # Deployed to /etc/pam.d/greetd by greetd-regreet.sh (@HOST@ → this machine's
-# hostname at install time). Mirrors the working lightdm stack: password via
-# system-login plus a required FIDO/U2F touch. `nouserok` lets users without an
+# hostname at install time). Password first, then a single required FIDO/U2F
+# touch — the same order hyprlock uses. `nouserok` lets users without an
 # enrolled key log in with their password alone.
 #
+# The `auth` phase is spelled out (pam_shells/pam_nologin/system-auth) instead
+# of `include system-login`, because this host's /etc/pam.d/system-login itself
+# leads with an unconditional `pam_u2f.so` line ahead of the password stack. A
+# plain `include` would pull that in, then this file's own pam_u2f line would
+# run again — prompting for FIDO, then password, then FIDO a second time.
+# Spelling the auth phase out here reproduces system-login's auth stack minus
+# that stray line, so FIDO is asked for exactly once, after the password.
+#
 # NOTE: intentionally simpler than a tuigreet multi-factor stack — no
 # pam_securetty / pam_oath, which a graphical greeter's single password field
 # cannot drive cleanly.
-auth       include      system-login
+auth       required     pam_shells.so
+auth       requisite    pam_nologin.so
+auth       include      system-auth
 auth       required     pam_u2f.so nouserok cue origin=pam://@HOST@ appid=pam://@HOST@
 account    include      system-login
 password   include      system-login

setup/tools/set-regreet-background.sh

@@ -0,0 +1,96 @@
+#!/bin/bash
+# =============================================================================
+# set-regreet-background.sh — set a specific image as the ReGreet greeter's background
+# =============================================================================
+# ReGreet reads its background from the path fixed in /etc/greetd/regreet.toml
+# ([background] path = /usr/share/backgrounds/lightdm-greeter-bg.png — the name
+# is shared with the old lightdm greeter, both point at the same file). Normally
+# that file is kept in sync with your desktop wallpaper by the
+# lightdm-greeter-wallpaper.path unit (see etc-lightdm/). This tool overrides it
+# with a specific image of your choosing instead.
+#
+# NOTE: if lightdm-greeter-wallpaper.path is enabled, it will overwrite this
+# choice the next time you change your desktop wallpaper via the picker. This
+# script warns you when that unit is active; disable it
+# (systemctl disable --now lightdm-greeter-wallpaper.path) if you want the
+# greeter background to stay pinned regardless of desktop wallpaper changes.
+#
+# Usage:
+#   set-regreet-background.sh <image> [--dry-run] [--help]
+#     -n, --dry-run   Print what would happen; change nothing
+#     -h, --help      Show this help and exit
+# =============================================================================
+set -euo pipefail
+
+SCRIPT_DIR="$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)"
+SETUP_DIR="$(cd "$SCRIPT_DIR/.." && pwd)"
+source "$SETUP_DIR/modules/lib/logging.sh"
+
+DEST="/usr/share/backgrounds/lightdm-greeter-bg.png"
+
+usage() {
+    cat <<'EOF'
+set-regreet-background.sh — set a specific image as the ReGreet greeter's background
+
+Usage:
+  set-regreet-background.sh <image> [--dry-run] [--help]
+    -n, --dry-run   Print what would happen; change nothing
+    -h, --help      Show this help and exit
+EOF
+}
+
+IMG=""
+DRY_RUN=0
+while [[ $# -gt 0 ]]; do
+    case "$1" in
+        -n|--dry-run) DRY_RUN=1 ;;
+        -h|--help)    usage; exit 0 ;;
+        -*)           err "Unknown argument: $1"; echo "Try --help." >&2; exit 2 ;;
+        *)            IMG="$1" ;;
+    esac
+    shift
+done
+
+if [[ -z "$IMG" ]]; then
+    usage
+    exit 1
+fi
+[[ -f "$IMG" ]] || { err "Not found: $IMG"; exit 1; }
+[[ -r "$IMG" ]] || { err "Not readable: $IMG"; exit 1; }
+
+if command -v identify &>/dev/null && ! identify -format '%m' "$IMG" &>/dev/null; then
+    err "Not a readable image: $IMG"
+    exit 1
+fi
+
+run() {
+    if (( DRY_RUN )); then
+        printf '[dry-run] would run: %s\n' "$*"
+    else
+        "$@"
+    fi
+}
+
+# ReGreet loads the image by content, not by extension, but re-encode to a real
+# PNG at DEST's fixed name so the file matches what it claims to be.
+log "Setting ReGreet background to $IMG..."
+if command -v magick &>/dev/null; then
+    TMP_BG="$(mktemp /tmp/regreet-bg.XXXXXX.png)"
+    trap 'rm -f "$TMP_BG"' EXIT
+    magick "$IMG" "$TMP_BG"
+    run sudo install -Dm644 "$TMP_BG" "$DEST"
+else
+    warn "ImageMagick not found — copying the image as-is (extension will not match content)."
+    run sudo install -Dm644 "$IMG" "$DEST"
+fi
+
+if systemctl is-active --quiet lightdm-greeter-wallpaper.path 2>/dev/null; then
+    warn "lightdm-greeter-wallpaper.path is active — this background will be overwritten the next time your desktop wallpaper changes."
+    warn "To pin it permanently: sudo systemctl disable --now lightdm-greeter-wallpaper.path"
+fi
+
+if (( DRY_RUN )); then
+    log "Dry run complete — no changes were made."
+else
+    log "ReGreet background set. It will show on the next greeter start (reboot, or restart greetd.service)."
+fi