Get cable plate (link below).
Drill hole, route wire to TV.
You can get a switch or unscrew tv cable and attach to outside cable. Switch makes it easier.
If you can't route the new cable in a hidden area, enter on the TV side of the door so you can run it along the baseboard.
OOps, sorry... Roger already said this....so, Ditto!
https://www.amazon.com/JR-Products-4...92&sr=8-6&th=1