This is a really clever idea! I love the stacking ability but I am still trying to figure out how some of it works! It does seem like scoring points might be difficult as the internal scoring engine relies on you having coins and that needs some good RNG.
My main question is that when a tower collapses and one reinforcement is removed, where does that reinforcement go? Back to the board? Out of the game? I am curious how this faction would interact with the Vagabond because the existence of the crafted items box means that the Vagabond can steal their not reinforced crafts but I don't see why they would ever keep them there considering the order! Still really cool factions!