If we beat the Chinese somehow, I don't think they'll just dismantle their space program and focus on Earth. They'll keep going, and they have the economic base to expand their program.
I think we're seeing the beginning of a new kind of space race. It's likely to be much longer term and grander in scale over time, as we compete for the best spots on the Moon and the first human landing on Mars in the decades to come.
> compete for the best spots
Nothing in outer space treaty that enables first come / first serve squatting. Second mover can always park next door. If anything OST allows joint scientific observation, which allows actors to build right next to each other.
The entire best spot narrative is US trying to bake in landgrab provisions via Artemis Accords (not international/customary law) for safety zones, i.e. landgrab by exclusion - if US build first, someone else can't because it might effect US safety. But reality is non signatories not obliged to honour Artemis. PRC's Artemis, i.e. International Lunar Research Station (ILRS) doesn't have safety zones baked into language yet, but they're going to want to push for some sort of deconfliction as matter of lawfare eventually.
But shit hits fan, and country absolutely need that moon base, everyone who can will be shanty-towning it up in Shackleton, where prime real estate (80-90% illumination windows) are like a few 300m strips. No one is going to settle for shit sloppy seconds because Artemis dictates 2km safety buffer. Exhaust plume from competitor landing next door damage your base? Your fault for not hardening it in first place, building paper mache bases and trying to exclude others under guise of safety is just not going to fly. With all the terrestrial geopolitical implications that entails.