I long suspect Blue Origin will be the first US based to touch down as Starship is just too complicated to get it done in the next 2-3 years, but that doesnt mean even the 2028 landing is assured.
Space exploration had been fairly low key for decades but the last decade has been something to see.
Oddly enough, the same country also accomplished the second, third, fourth, fifth, and sixth landing on the moon by humans. So if all goes well, China can be extremely triumphant with their highly anticipated seventh place trophy.
This is an America-centric geopolitical model with zero predictive power.
China annexed Tibet in 1951 [1]. Xinjiang has been fighting colonization from the Qings, Soviets, Nationalists and PRC for over a century.
[1] https://en.wikipedia.org/wiki/Annexation_of_Tibet_by_China
It offers no predictions, policy prescriptions beyond railing and an infinity of excuses for justifying pretty much anything for the latter and against the former, down to subgroups within each nation.