feat(displays): display profiles — docked/undocked switching (item 15a)

nomarchy.displayProfiles: named layouts for the same outputs, each a
list of nomarchy.monitors-style entries. The active profile lives in
the in-flake state (settings.displayProfile) on the night-light
pattern: nomarchy-display-profile apply <name> fires the baked hyprctl
rules instantly and writes the state with --no-switch; the next rebuild
bakes the profile's entries over nomarchy.monitors whole-by-name.
Monitor-rule composition is extracted to pure monitor-rules.nix
(renderer + 3-layer resolve, incl. a disable-guard so a stale menu
resolution pick can't resurrect a profile-disabled panel, and junk
state degrading to base config instead of an eval error) — because a
writeText/toFile state fixture is unreadable at flake-check eval time,
the new checks.display-profiles unit-tests the pure function directly.
Menu: System › Display gains a self-gated "Profiles ›" row (●/○ active
mark, Base layout to clear); commented template example + README row.

Verified: V0 (flake check, forcing the new check's asserts); V1 — a
scratch downstream through lib.mkFlake builds: the generated tool
passes bash -n with correct rules (disable/vrr/float scale), the baked
hyprland.conf shows the exact expected overlay, the menu renders, and
list/usage smoke-test clean. Remains: V3 live switching on a dock
(HARDWARE-QUEUE). Slices b (hotplug auto-switch) + c (workspace
binding) stay in item 15.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

modules/home/rofi.nix

@@ -303,13 +303,17 @@ ${themeRows}
           || { notify-send "Display" "Hyprland is not running."; exit 0; }
         mons=$(hyprctl monitors -j)
 
-        # Choose the output (skip the chooser when only one is connected).
-        if [ "$(printf '%s' "$mons" | jq -r '.[].name' | grep -c .)" -gt 1 ]; then
+        # Choose the output (skip the chooser when only one is connected and
+        # there are no profiles — the Profiles row needs the chooser to live in).
+        profs=; command -v nomarchy-display-profile >/dev/null 2>&1 && profs=1
+        if [ -n "$profs" ] || [ "$(printf '%s' "$mons" | jq -r '.[].name' | grep -c .)" -gt 1 ]; then
           name=$( {
+            [ -n "$profs" ] && printf 'Profiles ›\n'
             printf '%s' "$mons" | jq -r '.[] | "\(.name)  ·  \(.width)x\(.height)@\(.refreshRate|round)Hz"'
             printf '%s\n' "$BACK"
           } | rofi -dmenu -p Display ) || exit 0
           [ "$name" = "$BACK" ] && exec "$0" system
+          [ "$name" = "Profiles ›" ] && exec "$0" display-profile
           name=''${name%%  ·*}                       # strip the "  ·  WxH@R" hint
         else
           name=$(printf '%s' "$mons" | jq -r '.[0].name')
@@ -377,6 +381,27 @@ ${themeRows}
           *"Record screen"*)           exec nomarchy-record start screen ;;
         esac ;;
 
+      display-profile)
+        # Named multi-output layouts (nomarchy.displayProfiles). Applying is
+        # instant (hyprctl per entry, via nomarchy-display-profile) and
+        # persisted in-flake (settings.displayProfile) so the next rebuild
+        # bakes it. "Base layout" clears the state and hyprctl-reloads.
+        command -v nomarchy-display-profile >/dev/null 2>&1 \
+          || { notify-send "Display profiles" "None declared (nomarchy.displayProfiles)."; exit 0; }
+        active=$(nomarchy-display-profile active)
+        choice=$( {
+          nomarchy-display-profile list | while IFS= read -r p; do
+            if [ "$p" = "$active" ]; then printf '● %s\n' "$p"; else printf '○ %s\n' "$p"; fi
+          done
+          printf 'Base layout\n'
+          printf '%s\n' "$BACK"
+        } | rofi -dmenu -p Profiles ) || exit 0
+        case "$choice" in
+          "$BACK")        exec "$0" display ;;
+          "Base layout")  exec nomarchy-display-profile base ;;
+          *)              exec nomarchy-display-profile apply "''${choice#[●○] }" ;;
+        esac ;;
+
       colorpicker)
         # Pick a pixel's color (hyprpicker's zoom loupe) → clipboard, hex
         # in the confirmation toast. Esc/cancel exits silently. Self-gated
@@ -610,7 +635,7 @@ ${themeRows}
         esac ;;
 
       *)
-        echo "usage: nomarchy-menu [tools|system|power|power-profile|theme|clipboard|calc|files|emoji|web|network|bluetooth|audio|display|printers|capture|colorpicker|keybinds|ask|dnd|nightlight|autotimezone|autocommit|vpn|snapshot]" >&2
+        echo "usage: nomarchy-menu [tools|system|power|power-profile|theme|clipboard|calc|files|emoji|web|network|bluetooth|audio|display|display-profile|printers|capture|colorpicker|keybinds|ask|dnd|nightlight|autotimezone|autocommit|vpn|snapshot]" >&2
         exit 64 ;;
     esac
   '';