Fix Windows overlay tracking, z-order, and startup visibility

- switch Windows overlay tracking to native win32 polling with native owner and z-order helpers
- keep the visible overlay and stats overlay aligned across focus handoff, transient tracker misses, and minimize/restore cycles
- start the visible overlay click-through and hide the initial opaque startup frame until the tracked transparent state settles
- add a backlog task for the inconsistent mpv y-t overlay toggle after menu toggles

src/renderer/handlers/mouse.ts

@@ -166,7 +166,7 @@ export function createMouseHandlers(
     }
   }
 
-  function restorePointerInteractionState(): void {
+  function resyncPointerInteractionState(options: { allowInteractiveFallback: boolean }): void {
     const pointerPosition = lastPointerPosition;
     pendingPointerResync = false;
     if (pointerPosition) {
@@ -177,7 +177,11 @@ export function createMouseHandlers(
     }
     syncOverlayMouseIgnoreState(ctx);
 
-    if (!ctx.platform.shouldToggleMouseIgnore || ctx.state.isOverSubtitle) {
+    if (
+      !options.allowInteractiveFallback ||
+      !ctx.platform.shouldToggleMouseIgnore ||
+      ctx.state.isOverSubtitle
+    ) {
       return;
     }
 
@@ -186,6 +190,10 @@ export function createMouseHandlers(
     window.electronAPI.setIgnoreMouseEvents(false);
   }
 
+  function restorePointerInteractionState(): void {
+    resyncPointerInteractionState({ allowInteractiveFallback: true });
+  }
+
   function maybeResyncPointerHoverState(event: MouseEvent | PointerEvent): void {
     if (!pendingPointerResync) {
       return;
@@ -392,6 +400,12 @@ export function createMouseHandlers(
       syncHoverStateFromTrackedPointer(event);
       maybeResyncPointerHoverState(event);
     });
+    document.addEventListener('visibilitychange', () => {
+      if (document.visibilityState !== 'visible') {
+        return;
+      }
+      resyncPointerInteractionState({ allowInteractiveFallback: false });
+    });
   }
 
   function setupSelectionObserver(): void {
@@ -432,7 +446,7 @@ export function createMouseHandlers(
 
     window.addEventListener('blur', () => {
       queueMicrotask(() => {
-        if (typeof document === 'undefined' || document.visibilityState !== 'visible') {
+        if (typeof document === 'undefined' || document.visibilityState !== 'visible') {
           return;
         }
         reconcilePopupInteraction({ reclaimFocus: true });