Correct condition and flag state for skipping PLAY request.

ui/file_manager/video_player/js/cast/cast_video_element.js

Index: ui/file_manager/video_player/js/cast/cast_video_element.js
diff --git a/ui/file_manager/video_player/js/cast/cast_video_element.js b/ui/file_manager/video_player/js/cast/cast_video_element.js
index 6e0708c56309032fd84785b8a4cd59bba69ce304..53abbd0d35fd46260b64029582e79e0714d995ff 100644
--- a/ui/file_manager/video_player/js/cast/cast_video_element.js
+++ b/ui/file_manager/video_player/js/cast/cast_video_element.js
@@ -224,8 +224,12 @@ CastVideoElement.prototype = {
       return;
 
     var play = function() {
+      // If the casted media is already playing and a pause request is not in
+      // progress, we can skip this play request.
       if (this.castMedia_.playerState ===
-              chrome.cast.media.PlayerState.PLAYING) {
+              chrome.cast.media.PlayerState.PLAYING &&
+          !this.pauseInProgress_) {
+        this.playInProgress_ = false;
         return;
       }