feat(engine): Show solution — auto-play the winning line from the pause menu

New SolutionPlaybackPlugin: the pause modal's 'Show solution' button
resumes the game and requests a solve of the live position via
GameState::winning_line on AsyncComputeTaskPool (never blocks the main
thread; stale results discarded via a move_count snapshot). The line
then plays back one instruction per 0.45 s through the normal
MoveRequestEvent / DrawRequestEvent pipeline — animations, scoring,
undo history and win detection behave as if the player made the moves.
Tableau run counts are decoded against the live state at step time.

Playback cancels on Esc, pause, undo / new-game requests, and any
rejected move (the signature of the player diverging the board).
Toasts cover search start, line found, unwinnable, and budget-
exhausted outcomes.

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

solitaire_engine/src/pause_plugin.rs

@@ -71,6 +71,12 @@ struct PauseResumeButton;
 #[derive(Component, Debug)]
 struct PauseForfeitButton;
 
+/// Marker on the "Show solution" secondary button on the pause modal.
+/// A click resumes the game and fires `ShowSolutionRequestEvent`;
+/// `solution_playback_plugin` takes it from there.
+#[derive(Component, Debug)]
+struct PauseSolutionButton;
+
 /// Marker on the forfeit-confirm modal scrim.
 #[derive(Component, Debug)]
 pub struct ForfeitConfirmScreen;
@@ -107,6 +113,7 @@ impl Plugin for PausePlugin {
             .add_message::<PauseRequestEvent>()
             .add_message::<ForfeitRequestEvent>()
             .add_message::<ForfeitEvent>()
+            .add_message::<crate::events::ShowSolutionRequestEvent>()
             .add_message::<InfoToastEvent>()
             .init_resource::<PausedResource>()
             .add_systems(
@@ -125,6 +132,7 @@ impl Plugin for PausePlugin {
                     handle_pause_draw_buttons,
                     handle_pause_resume_button,
                     handle_pause_forfeit_button,
+                    handle_pause_solution_button,
                     handle_forfeit_request,
                     handle_forfeit_confirm_buttons,
                     handle_forfeit_keyboard,
@@ -304,6 +312,22 @@ fn handle_pause_resume_button(
     }
 }
 
+/// Translates a click on the pause modal's "Show solution" button into
+/// a resume (`PauseRequestEvent` — playback can't run while paused)
+/// plus a `ShowSolutionRequestEvent` for `solution_playback_plugin`.
+fn handle_pause_solution_button(
+    interaction_query: Query<&Interaction, (Changed<Interaction>, With<PauseSolutionButton>)>,
+    mut pause: MessageWriter<PauseRequestEvent>,
+    mut solution: MessageWriter<crate::events::ShowSolutionRequestEvent>,
+) {
+    for interaction in &interaction_query {
+        if *interaction == Interaction::Pressed {
+            pause.write(PauseRequestEvent);
+            solution.write(crate::events::ShowSolutionRequestEvent);
+        }
+    }
+}
+
 /// Translates a click on the pause modal's Forfeit button into a
 /// `ForfeitRequestEvent` so `handle_forfeit_request` can spawn the
 /// confirm modal — same code path as the `G` accelerator.
@@ -498,6 +522,14 @@ fn spawn_pause_screen(
                 ButtonVariant::Tertiary,
                 font_res,
             );
+            spawn_modal_button(
+                actions,
+                PauseSolutionButton,
+                "Show solution",
+                None,
+                ButtonVariant::Secondary,
+                font_res,
+            );
             spawn_modal_button(
                 actions,
                 PauseResumeButton,