I played your game again and the top map helps, but is not solving the core issue. What solved it for me is the easier difficulty level, that was winnable. I also tried the other game modes, but the turn based mode feels clunky and less fun from my perspective.
The pigs mode: I didnt really understand what is different, the pigs where not stronger or anything for firing at the tower, so I didnt know what the expect there. I had the bug that the picked up block was hovering above the mouse curser while the mouse cursor needed to land in the placeholder box to build correctly, I had many missclicks that way as I aimed with the block.