On the recording, the sound is more like a bit of a clank rather than a click.
Based upon where the position of the steering wheel is when the click / clank occurs, I want to say that it is the turn signal cancel cam interacting with the cancel switch; however, I find it hard to believe that the cancel cam hitting the cancel switch could make that much noise unless the switch has come loose.
The second possibility, again based upon the wheel rotation when the noise occurs, is that the lock pin in the steering lock mechanism is not retracting fully in the unlocked position and is catching on the lock recesses in the steering column. If that is the case, you definitely do not want to be driving the car because if that locking pin decides to 'un retract' a little more and fully engage with the steering column lock recess its going to lock the wheel in that position. Very bad news in the middle of a turn.
Finally, are you still using the cable reel with your steering wheel? Is it possible that something has come loose there?
Speculation is all academic. I think you have no choice but to be taking the deep dive into your steering column. I wouldn't ignore it, particularly if something has gone wrong with the column locking mechanism.