Have not found a way, but....
Do you have a HDMI cable and does your computer and TV each have a HDMI port.
The TImeline panel appears to be the only undockable panel in the Premiere Elements 13/13.1 Expert workspace area (Window Menu/Dual Monitor)
The best I can do is to make a HDMI connection between the HDMI ports of my computer and TV, with display at Duplicate or Extend. That does not appear to be what you seek.
The other part of all this is that Premiere Elements used to have a "Playback Settings" in Project Settings and accessed from
right clicking the Edit area monitor. That is no longer to be found in 13.1, even in a grayed out state. And, for me, the Playback Settings could not be made visible
when attaching a 3rd party device.
In the days of Premiere Elements 11, the answer to your question might have been as described in the following
Until proven otherwise, I am thinking that it cannot be done in Premiere Elements 13/13.1. But, I am not at a stage where I would put a never and always stamp on this.