((guesses in order of what I think you should try first..for the most part))
In Teamspeak
Settings -> Plugins
Look for something called Overlay Plugin
I think by default vanilla it only has ClientQuery and TS3 Control Plugin
Disable the Overlay if present (might need to click on it, Settings at the bottom, disable)
If you have a different program that works with TS that puts an overlay in the game (not found in these settings) disable that program.
--
Try disabling Origin in Game.
--
Perhaps try Borderless mode instead of Fullscreen
--
Uninstall TS3. Reinstall it
--
Turn off every unneeded program running in the background // Clean Boot