feat: Implement intelligent skip feature with enhanced settings

- Added support for time input in minutes:seconds format for skipping segments.
- Introduced automatic skipping functionality for both opening and ending segments.
- Enhanced UI for skip settings with a floating configuration card.
- Implemented countdown timer for automatic next episode playback.
- Added batch settings for configuring multiple skip segments at once.
- Updated SkipController component to handle new skip logic and UI changes.
- Created comprehensive usage guide for the new skip feature.

src/app/play/page.tsx

@@ -1567,9 +1567,10 @@ function PlayPageClient() {
                     title={videoTitle}
                     artPlayerRef={artPlayerRef}
                     currentTime={currentPlayTime}
-                    _duration={videoDuration}
+                    duration={videoDuration}
                     isSettingMode={isSkipSettingMode}
                     onSettingModeChange={setIsSkipSettingMode}
+                    onNextEpisode={handleNextEpisode}
                   />
                 )}