Use one of the Player Apps that doesn’t run in your browser:
Plex for Windows/Other - at Devices/Apps link bottom of this page.
Plex Media Player:
I basically use Plexweb to see if the transcoder is working.
If I actually want to watch something - I’ll use a Player.
…and there’s even this:
not sure how relevant that is…
If you can use Plex For Windows - I would - it looks exactly like Plexweb so you’ll be right at home.
Plex Media Player has a boat-load of enhanced settings within it’s TV View you might find useful, but are more designed for the home theater folks. I use both - as necessary.