After a while it goes back to working again but I haven’t figured out a pattern.
Just had the problem come back again so tried a few things.
Closing Plex and opening again didn’t fix it.
Using the memory clearing tool in the system settings (to fully close Plex) didn’t fix it.
Turning TV off and on again via remote didn’t fix it.
I then turned off Quick Start so that turning off the TV performs a full shutdown, did that and then on restart, Plex started to play videos again. Give this a go as a workaround.
Note: leave TV off for 30 seconds to be sure. I think even with Quick Start off, it doesn’t always do the full shutdown if turned on again “too quickly”