Hello,
I'm no expert in computer specs but I have somewhat of a potato laptop myself too. It's about 5 years old. Here's the performance usage with pretty much just the game running. The game runs fine and is fully playable on my end.
I reckon it just should run okay, as it is a turn based strategy game, lagg won't have too big an impact on gameplay itself. If you do play it let us know how performance was, could help us determine minimum specs recommended.
Of course with it being at the prototype stage we haven't put any work towards optimizing the game for lower end hardware. That'll come at a later date.
Hope that helps