Split software arch desc for easier manintenance. Many fixes related to next video playing and remote playback

src/lib/stores/player.ts

@@ -228,15 +228,20 @@ export const mergedVolume = derived(
 /**
  * Should show audio miniplayer - state machine gated
  * Only true when:
- * 1. Player is in playing or paused state (not idle, loading, error)
- * 2. Current media is audio (not video: Movie or Episode)
+ * 1. In remote mode with an active session playing media, OR
+ * 2. Player is in playing or paused state (not idle, loading, error)
+ *    AND current media is audio (not video: Movie or Episode)
  */
 export const shouldShowAudioMiniPlayer = derived(
-  [player, currentMedia],
-  ([$player, $media]) => {
-    const state = $player.state;
+  [player, currentMedia, isRemoteMode, selectedSession],
+  ([$player, $media, $isRemote, $session]) => {
+    // In remote mode, show if the remote session has a now-playing item
+    if ($isRemote && $session?.nowPlayingItem) {
+      return true;
+    }
 
-    // Only show when actively playing or paused
+    // Local mode: only show when actively playing or paused
+    const state = $player.state;
     if (state.kind !== "playing" && state.kind !== "paused") {
       return false;
     }