The EU is just about building up to the task of proper self-defence against Russia, and China is not at all interested in a world order except as it feels necessary to protect domestic order. So they do things like border-pushing against India, the nine-island line, wars of words with Japan, and surveillance of overseas Chinese nationals, but other than that they are a long way from anything like the European colonial or world war era.

(IMO there has actually been a retreat from China trying to do propaganda "please like us" adventures overseas in the past few years. Peaked round about https://en.wikipedia.org/wiki/The_Great_Wall_(film) / https://en.wikipedia.org/wiki/The_Battle_at_Lake_Changjin - second highest grossing film worldwide of 2021! For a Korean War movie?!)