A Chinese announcement won’t mean anything. Head of NASA has already fabricate such a Chinese announcement where none existed to help drum up more money to land on the moon before Mid 2020s. The political currents in the US is with the effort for now. The US will certainly devote enough resources during next several years to return men to the moon considerably ahead of China, and then use the nominal scale of international participation in the the Artemis program to delegitimize any subsequent major Chinese effort on the moon in international popular opinion.
Of course political currents can change, as can international alignment.
Not sure what was the big deal about getting there first, and now getting there first again... not like the US did anything with that lead for 50 years until China caught up...
Apollo Guidance Computer has less power than a pocket calculator, much less a modern smartphone. Sure some of the telemetry for burns/ reentry was calculated on ground and then uploaded via datalink but the onboard computers had registers individually sown together and the computer UI interface consisted of three lines which only took numbers as input/output not to mention the DSKY used the VERB/NOUN thingy...
The rocket SaturnV could barely compensate for the center engine early shutdown on Apollo 13 that showed you just how primitive things was back then...
So I mean I think the focus for China should be on real tech like EUV, not on doing something that US did 50 years ago on basically stone age technology.. the fact that US wants to beat China to it again, is a joke