Test Studio does not support Flash, which is why you can't record clicks specific to buttons on a YouTube video player. Test Studio simply sees it as a single object element in the DOM.
As a work-around you can use a Blind Mouse Click. Simply choose a neighboring element as the reference for the click.
If you find that the built-in "Scroll to Visible" of that step is causing the click to execute on the wrong coordinates, Customize the Step in Code and comment out the line that scrolls the browser:
// Desktop command: LeftClick on LikeSpan
HtmlSpan LikeSpan = Pages.Sample.LikeSpan;
LikeSpan.MouseClick(ArtOfTest.WebAii.Core.MouseClickType.LeftClick, -13, -41, ArtOfTest.Common.OffsetReference.AbsoluteCenter);
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