refactor(engine): ambiguity gate covers the full cluster — batches 1-3, 585 pairs burned to zero

Port the July 7 gate-extender branch onto current master (the You-hub,
touch action bar, glass tab bar, Phase L, and hint-ghost work all landed
since) and finish batch 3. cluster_app now includes the mode, replay,
input, radial, tooltip, cursor, touch-selection, and safe-area plugins on
top of batches 1-2; the 585 ambiguous pairs the expansion exposed are
annotated down to zero and the gate stays assert_eq!(count, 0).

New ordering machinery:
- ReplayPlayback: playback driver chain on the pre-mutation spine
  (PointerInput < ReplayPlayback < overlay chain < GameMutation)
- ModeStart: mode-start handlers between the stats abandon-recorder and
  GameMutation; ChallengeCompletion < DailyCompletion < WeeklyGoalsEval
  pinned inside ProgressUpdate so `.after(ProgressUpdate)` readers see
  settled progress
- PointerInput: public set wrapping the input chain; AbandonRecord on the
  stats abandon-recorder; PendingHint around the async hint pipeline;
  HintGhostFx for the ghost chain (after the full visual spine)
- Clubs: MoveRequestWriters, WarningToastWriters join the existing
  request/toast writer clubs; UiTextFx grows the overlay/tooltip/safe-area
  chrome painters; SettingsAccess grows the lag-tolerant settings readers

Gate: cargo test --workspace green (993 engine tests), clippy
--all-targets -D warnings clean, rustfmt applied.

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

solitaire_engine/src/profile_plugin.rs

@@ -60,6 +60,14 @@ pub struct DailyCalendarDot {
 /// [`spawn_profile_body`] for this tab's content.
 pub struct ProfilePlugin;
 
+/// Self-ambiguous club for writers of
+/// [`crate::events::ToggleProfileRequestEvent`] (HUD avatar button, home
+/// profile chip, HUD menu option). The You-hub reader drains the whole
+/// queue, so writer append order is irrelevant; `you_hub_plugin` orders
+/// its open/tab handling after the club (#143).
+#[derive(bevy::ecs::schedule::SystemSet, Debug, Clone, PartialEq, Eq, Hash)]
+pub struct ProfileToggleWriters;
+
 /// Marker on the scrollable body Node inside the Profile modal.
 ///
 /// The Profile panel renders sync info, progression (incl. 14-day
@@ -82,7 +90,12 @@ impl Plugin for ProfilePlugin {
             .add_message::<MouseWheel>()
             // Open/close/tab handling moved to `you_hub_plugin`
             // (Phase E) — this plugin now owns body content + scroll.
-            .add_systems(Update, scroll_profile_panel);
+            .add_systems(
+                Update,
+                scroll_profile_panel
+                    .in_set(crate::ui_modal::PanelScroll)
+                    .ambiguous_with(crate::ui_modal::PanelScroll),
+            );
     }
 }