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/table_plugin.rs

@@ -112,7 +112,12 @@ impl Plugin for TablePlugin {
                     // paint pipeline — markers and cards share Sprite/
                     // Transform access (#143).
                     (
-                        apply_theme_on_settings_change,
+                        // Drains SettingsChangedEvent via cursor — a home
+                        // deal-option edit (post-mutation SettingsAccess
+                        // writer) surfacing one frame later repaints one
+                        // frame later, which is invisible (#143).
+                        apply_theme_on_settings_change
+                            .ambiguous_with(crate::settings_plugin::SettingsAccess),
                         apply_hint_pile_highlight,
                         tick_hint_pile_highlights,
                         sync_pile_marker_visibility.after(GameMutation),