Better design for a Call To Action button overlayed on a video

My company hosts marketing videos and we are in the middle of redesigning our Call to Actions that we overlay on top of the video to direct users to our client's booking site.

I currently have a reasonably large button centered in the bottom half of the video with a slight opacity that becomes opaque on hover, but I feel it looks a bit flat and doesn't invite people to click.

Before starting the video:

While playing:

Is there anything I can do to make the button stand out a bit more and encourage more clicks? The current colour selection is to match our logo but I'm happy to change it if another colour is more suitable.