How do I get rid of the 'local storage' dialog once I deny it?

Whenever I try to view a video with IE11, an Adobe Flash Player Settings dialog opens up, covering the center of the video, saying:

Local Storage
www.whatever.com is requesting permission to store information on your computer.
Requested: up to 10 KB
Currently used: 0 KB
Allow or Deny

If I Deny, the unwanted, permanently annoying dialog remains, obscuring the center of the video and ruining the user experience, even though many videos still continue to run perfectly fine behind it.

My expectation is that once the question has been asked and answered, this ridiculous dialog needs to disappear!

I've intentionally set my Flash Player control panel to ask me whenever a site wants to store info on my HD, so I can avoid local storage whenever possible, yet occasionally be able to decide, depending on circumstances, to allow local storage to cure occasional jerky streaming video problems.  The only other choices are to prevent all sites from storing, or allow all sites to store.

Is there a setting that will make this dialog go away once I've answered the question?