Don't send the video number to Gleeok, do that later or another time or something. I want to see this battle as soon as possible.
If you don't have the VS Recorder, all you have to do is head over to the battle subway. A lady should bump into you on her way out. She gives you the VS Recorder. After the battle, save the video recording to your VS Recorder and go into the Poke center. The same lady you talk to for the GTS and Random match will also have an option for going to the Recorded battle section. Go there and either find the correct terminal for uploading the video or click on the option for uploading. After the Video is up it will be assigned a number, post that number here.