Will Nintendo make a third Legend of Zelda game in the same style as Breath of The Wild and Tears of The Kingdom?
I don't think it is likely they would anytime soon. Nintendo may release something that feels different for Zelda to keep the current formula from becoming stale but think they could bring a third one in the current style later down the road. You see this happen with lots of big name IPs. I would definitely welcome a third one with open arms.