This question is a bit pointless. That all depends on how China behaves by then. For all we know they may not be interested in building power projection capabilities that go further than their own region.
Historical precedence from the Ming dynasty showed that even when they have a big fleet, they're not interested in colonizing territories. The Ming fleet only traded, not conquered. Look up Zhang He.
Historical evidence from the Qing dynasty showed that in the 18th century, Chinese mining settlers in Malaysia tried to submit themselves under the rule of the Qing, but the Qing emperor refused, saying China is big enough already. Lookup Lanfang Republic.
Historical precedence from the Republican era showed that the People's Republic has given up territory compared to the Republic. See all of outer Mongolia, which was ceded (and which Taiwan, a.k.a. the Republic, still formally claims).
Historical evidence from a few years ago shows that China's policy is non-interventionist. Lookup Yanis Varoufaski, former Greek minister: https://youtu.be/9tJatdtv4jQ
Lookup Gyude Moore, "China in Africa: an African perspective"
Where is the evidence that we can expect China to behave like the US?
History is littered with examples. But for China's ambitions, maybe it will depend on the nature of their alliances by then (2050 is their goal).
There's a complicated relationship with Russia vis a vis scientific collab in space, and now we're entering the openly militarized age of space. Russia's relations with China, meanwhile, are improving.
Besides, the nature of domination going forward, in any kinetic sense, won't involve nukes, bayonets, bow and arrow, or the like, except as backup offensive strats. Could involve, say, leaking a virus from a lab.
The nature of global domination may be far less violent than we've seen, historically, but certainly has the potential to be far more insidious.
I'd much rather do my part helping the West maintain their incumbent role. As for Snowdon/surv topics: everyone did it, everyone does it, espionage is the 2nd oldest profession.
May I ask if you support China's ongoing initiative to reclaim Taiwan? They seem to be willing to use force to do so.
Re Taiwan I think calling it an "ongoing initiative to reclaim Taiwan" is misrepresenting the situation. I think PRC would be happy to maintain status quo indefinitely, even allowing Taiwan to have strong informal ties with the world, as long as all parties don't try to break the One China Policy. The status quo has been hugely beneficial to both parties while still allowing de facto independence. By Korean standards, China is already reunified. In the late 80s or early 90s the PRC did offer One Country Two Systems with many negotiable options, but the KMT back then was too arrogant and shot that down, thinking PRC would collapse. Now that ship has sailed.
I'm hoping for a peaceful resolution. Whether that's reunification, or an acceptable form of independence, I'm fine with both. It wouldn't be that bad if China-Taiwan becomes like US-Canada: independent but at peace and with good relationships. Just... Stop fighting and hating on each other, for fscks sake.
I oppose any violent resolutions. But from my perspective, many parties involved in the matter seem to be hellbent on forcing a violent resolution.