Yesterday I launched The Turing Test game and played it for a few minutes, then quit (without saving). Today when I try to start it, it shows a message "Failed to load save data", which quickly disappears and then pressing any keys does not do anything (except Stadia key, screenshot and assistant keys). In other words, the game is stuck at the startup menu and restarting it does not help. I haven't yet tried on the PC, but basically I can't play the game on my TV with Stadia controller.
Turned out the same happens on other games. So this seems to be specific to my controller and not to the game. Besides I was able to play The Turing Test on the PC.