...Smacks
@fast fred in the head for not running network cabling to ALL locations!!!
It does look like (from your other photo) that you could run a network wire up the wall to the TV.
That would be a very simple thing to do if you want hard wired network at the TV and currently only have it below at the receiver location. Like... super easy.
If you need it at both locations, just get a cheap gigabit network switch. It acts as a splitter for your network connection. Not sure how networking literate you are, but network switches are just like splitters. You plug it into your network and you can have a bunch more hard wire connections available.
I use this one all the time...
They do the job, are inexpensive, and give you 4 extra network connections at the equipment location.
They also have models which have 8 or a LOT more connections should you need it at any location.