The bots can also examine the entire board (but that's something that consumes gas)?

If you run claimTile() on an enemy tile that is alive, it dies?

Calling move() will try to move a cell that is alive - can i only move the "alive" part of the cell into a cell that I claimed first using claimTile()?

The game ends after 10 rounds - the number of actions per round is only limited by available gas?

You are running the game on a test chain right now so there is no real ethereum (=money) involved yet?