Thank you phillip for a very detailed feedback and kind words, and sorry for the very late reply. That you gave the game a try not only once, but 4 times makes me super happy!
The game has very obvious balance issues that I sadly didn't find the time to fix them. I hope to fix them in a later iteration. As for the Alien Breach event not triggering game over when you have no soldiers left, that's probably a bug! Thanks for finding it!