Last update: I wanted to be sure, because I thought I would have noticed if the solvable generation failed. I put it into a solver, and it has confirmed that there’s no safe squares to click. So yeah, 100% confirmed the level generator failed. It has happened to me a couple of times before but at the start of the game there’s a very big delay as it tries to generate, and when it fails it pops a message alerting you that it might require guessing. I don’t know how I could have missed that, but I must have.

This is the solver I used.