We've seen that threshold crossed with neural agents like AlphaGo which can be reasonably described as thinking. It decides if moves are good or bad after a little pause for processing, its decisions improve with time, it has an opinion on the state of play, the opinion is formed using basically the same data as a human, different iterations of the neural network can have a different opinion but there is a link between it and the previous one.

I don't see a test that majorly distinguishes it from a human. It appears to be following the same process with a few tweaks around the edges. There are some exceptions in the 2-5 situations in Go where a human can actually use optimised logic to determine what will happen; but they aren't the meat of the game.