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/stats_plugin.rs

@@ -46,6 +46,14 @@ pub struct StatsStoragePath(pub Option<PathBuf>);
 #[derive(SystemSet, Debug, Clone, PartialEq, Eq, Hash)]
 pub struct StatsUpdate;
 
+/// Set holding the abandon-recorder (`update_stats_on_new_game`). It must
+/// read the outgoing game's `move_count` before any mode-start handler or
+/// `GameMutation` clobbers the game state — mode plugins order their reset
+/// handlers `.after(AbandonRecord)` via `crate::game_plugin::ModeStart`
+/// (#143).
+#[derive(SystemSet, Debug, Clone, PartialEq, Eq, Hash)]
+pub struct AbandonRecord;
+
 /// Marker component on the stats overlay root node.
 #[derive(Component, Debug)]
 pub struct StatsScreen;
@@ -205,10 +213,34 @@ impl Plugin for StatsPlugin {
             // constraints (win_summary_plugin: cache_win_data.before(StatsUpdate)),
             // and a system cannot be both inside a set and individually before a
             // set-level ordering constraint.
-            .add_systems(Update, update_stats_on_new_game.before(GameMutation))
             .add_systems(
                 Update,
-                update_stats_on_win.after(GameMutation).in_set(StatsUpdate),
+                update_stats_on_new_game
+                    .in_set(AbandonRecord)
+                    .before(GameMutation)
+                    // Reads the shared new-game request stream via its own
+                    // cursor — append order is irrelevant, so it joins the
+                    // self-ambiguous writer club (NewGameRequestWriters must
+                    // not carry set-level edges; see its doc). The explicit
+                    // edges pin it after the pause/settings/selection
+                    // mutators and the pre-mutation game-state spine it
+                    // reads `move_count` from (#143).
+                    .in_set(crate::game_plugin::NewGameRequestWriters)
+                    .ambiguous_with(crate::game_plugin::NewGameRequestWriters)
+                    .after(crate::game_plugin::PreMutation)
+                    .after(crate::pause_plugin::PauseMutation)
+                    .after(crate::settings_plugin::SettingsMutation)
+                    .after(crate::selection_plugin::SelectionKeySet),
+            )
+            .add_systems(
+                Update,
+                update_stats_on_win
+                    .after(GameMutation)
+                    .in_set(StatsUpdate)
+                    // Also emits toasts (streak milestones) — join the
+                    // self-ambiguous writer club (#143).
+                    .in_set(crate::game_plugin::InfoToastWriters)
+                    .ambiguous_with(crate::game_plugin::InfoToastWriters),
             )
             .add_systems(
                 Update,
@@ -216,29 +248,69 @@ impl Plugin for StatsPlugin {
                 // the NewGameRequestEvent it emits is not visible to
                 // update_stats_on_new_game in the same frame — otherwise
                 // record_abandoned() fires twice on every forfeit (#21).
+                // It drains the ForfeitEvent the pause/forfeit modal chain
+                // emits, and shares the new-game request stream with the
+                // other writers (#143).
                 handle_forfeit
                     .before(GameMutation)
-                    .before(update_stats_on_new_game),
+                    .before(update_stats_on_new_game)
+                    .after(crate::pause_plugin::PauseMutation)
+                    .after(crate::selection_plugin::SelectionKeySet)
+                    .in_set(crate::game_plugin::NewGameRequestWriters)
+                    .ambiguous_with(crate::game_plugin::NewGameRequestWriters),
             )
             // Open/close/tab handling moved to `you_hub_plugin`
             // (Phase E) — this plugin now owns body content, replay
             // selector behavior, and scroll.
-            .add_systems(Update, refresh_replay_history_on_win.after(GameMutation))
-            .add_systems(Update, handle_watch_replay_button)
-            .add_systems(Update, handle_copy_share_link_button)
+            //
+            // Stats overlay UI: one deterministic chain — every member
+            // touches the replay-selector state or the overlay's nodes, and
+            // handle_watch_replay_button resets the live game, so the chain
+            // sits between GameMutation and the auto-complete driver on the
+            // game-state timeline (#143). The toast-emitting members join
+            // the self-ambiguous InfoToastWriters set so the toast pipeline
+            // (AnimFx) drains them this frame.
             .add_systems(
                 Update,
                 (
+                    refresh_replay_history_on_win,
                     handle_replay_selector_buttons,
-                    repaint_replay_selector_caption,
-                    repaint_replay_selector_detail,
+                    // Marker-filtered Text repaints — disjoint from the
+                    // HUD text painters (UiTextFx club, #143).
+                    repaint_replay_selector_caption
+                        .in_set(crate::ui_theme::UiTextFx)
+                        .ambiguous_with(crate::ui_theme::UiTextFx),
+                    repaint_replay_selector_detail
+                        .in_set(crate::ui_theme::UiTextFx)
+                        .ambiguous_with(crate::ui_theme::UiTextFx),
+                    handle_watch_replay_button
+                        .in_set(crate::game_plugin::InfoToastWriters)
+                        .ambiguous_with(crate::game_plugin::InfoToastWriters),
+                    handle_copy_share_link_button
+                        .in_set(crate::game_plugin::InfoToastWriters)
+                        .ambiguous_with(crate::game_plugin::InfoToastWriters),
                 )
-                    .chain(),
+                    .chain()
+                    .after(GameMutation)
+                    // The overlay repaints read this frame's settled stats,
+                    // progress, and achievement evaluation (level line,
+                    // streak).
+                    .after(StatsUpdate)
+                    .after(crate::progress_plugin::ProgressUpdate)
+                    .after(crate::achievement_plugin::AchievementEval)
+                    .before(crate::auto_complete_plugin::AutoComplete),
             )
-            .add_systems(Update, scroll_stats_panel)
             .add_systems(
                 Update,
-                crate::ui_modal::touch_scroll_panel::<StatsScrollable>,
+                scroll_stats_panel
+                    .in_set(crate::ui_modal::PanelScroll)
+                    .ambiguous_with(crate::ui_modal::PanelScroll),
+            )
+            .add_systems(
+                Update,
+                crate::ui_modal::touch_scroll_panel::<StatsScrollable>
+                    .in_set(crate::ui_modal::PanelScroll)
+                    .ambiguous_with(crate::ui_modal::PanelScroll),
             );
     }
 }