Then, you need to setup routing. You haven’t indicated what the link is between the two routers but, if it’s ethernet I would suggest moving router 2’s wlan2 to a third network card in router 1 and dispensing with router 2. This will enable you to simply have a default route on each computer that points to router 1.
You CAN set a ip on the bridge insted of any other interface for management, but the bridge itself doesn’t need it.
The bridge will act like a switch for any interface attached to it.