To tell the truth, they're going to avoid all the mistakes that the West made; for example, they'll conquer Africa and its huge natural resources via investment and geopolitics rather than genocide and the slave trade; we've already proved that the former wasn't so good for PR. But then, China will make its own mistakes, another nation will eventually challenge them; yet next time it will be different. Due to a lack of larger nations ready to take the crown that China seems to be recently be declaring to now be its own, it won't be external challengers that will cause the most problems. Whoever steps up next, will not need to fight a war. They will just avoid repeating the mistakes that they made internally.