fix(rofi): Display menu Back returns to System on single-monitor

The mode picker's Back did `exec "$0" display`. On a single-monitor
machine with no display profiles the output chooser is skipped, so
re-running `display` dropped straight back into the same mode picker — an
apparent no-op. Track modeBack (display when the chooser was shown, else
system) and dispatch Back to it, so single-monitor Back leaves Display.

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

agent/BACKLOG.md

@@ -50,12 +50,6 @@ still doesn't open the keybindings cheatsheet. Re-diagnose: confirm the
 Hyprland bind's modmask/keysym against the *actual* layout, whether rofi
 2.0.0 changed anything, and that the cheatsheet path still resolves.
 
-### 40. Display rofi menu "Back" doesn't return `[bug]`
-(Raised by Bernardo, 2026-07-07 — item 10.) In System › Display, the
-Back row fails to return to the previous menu (other submenus' Back work
-— cf. the item 24 audit). Trace the Display handler's Back case /
-dispatch target.
-
 ### 39. Icons in the power-profile rofi menu
 (Raised by Bernardo, 2026-07-07 — item 9.) The power-profile picker
 (rofi.nix `power-profile`) lists profiles as bare text; add per-profile

agent/JOURNAL.md

@@ -17,6 +17,21 @@ Template:
 
 ---
 
+## 2026-07-07 — Display menu "Back" doesn't return (iteration #57, item 40)
+- **Task:** BACKLOG item 40 — in System › Display the Back row didn't
+  return on a single-monitor machine.
+- **Root cause:** the mode picker's Back did `exec "$0" display`. On a
+  single-monitor laptop with no display profiles, the output chooser is
+  skipped, so re-running `display` drops straight back into the *same*
+  mode picker — an apparent no-op. (Multi-monitor works: `display`
+  re-shows the chooser, a genuine previous level.)
+- **Fix:** `modules/home/rofi.nix` display handler now tracks `modeBack` —
+  `display` when the chooser was shown, else `system`. Mode-picker Back
+  does `exec "$0" "$modeBack"`, so single-monitor Back leaves Display for
+  System.
+- **Verified:** V0 `nix flake check --no-build` green. Logic is
+  deterministic; the single- vs multi-monitor branch is the whole fix.
+
 ## 2026-07-07 — Menu "Back" double arrows (iteration #56, item 34)
 - **Task:** BACKLOG item 34 — every submenu's `↩ Back` row drew two
   arrows: the `↩` glyph in the label AND a themed `go-previous` icon.

modules/home/rofi.nix

@@ -335,6 +335,11 @@ ${themeRows}
 
         # 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).
+        # Where the mode picker's Back returns to: the output chooser when it
+        # was shown (a real previous level), else straight to System — on a
+        # single-monitor laptop the chooser is skipped, so returning to
+        # `display` would just re-open this same mode picker (item 40).
+        modeBack=system
         profs=; command -v nomarchy-display-profile >/dev/null 2>&1 && profs=1
         if [ -n "$profs" ] || [ "$(printf '%s' "$mons" | jq -r '.[].name' | grep -c .)" -gt 1 ]; then
           name=$( {
@@ -345,6 +350,7 @@ ${themeRows}
           [ "$name" = "$BACK" ] && exec "$0" system
           [ "$name" = "Profiles ›" ] && exec "$0" display-profile
           name=''${name%%  ·*}                       # strip the "  ·  WxH@R" hint
+          modeBack=display
         else
           name=$(printf '%s' "$mons" | jq -r '.[0].name')
         fi
@@ -361,7 +367,7 @@ ${themeRows}
             | sed 's/Hz$//' | awk -F@ '{ printf "%s@%d\n", $1, $2 + 0.5 }' | sort -rV -u
           printf '%s\n' "$BACK"
         } | rofi -dmenu -p "$name (now $cur)" ) || exit 0
-        [ "$mode" = "$BACK" ] && exec "$0" display
+        [ "$mode" = "$BACK" ] && exec "$0" "$modeBack"
         [ -n "$mode" ] || exit 0
 
         # Apply live (keep the output's current position + scale), then persist.