The first trophy was a reward stolen from the "Star Dome Tower".
["Precious Star Memory" (Item): ...Using this item will increase your Knowledge limit by 30,000 points.]
The "Star Dome Tower" was an existence that lured Scholars with Knowledge, gradually biasing them towards the Stars faction.
The 30,000-point increase in Knowledge limit from clearing the Star Dome Tower was originally only available after defecting to the Stars.
Lin Xun didn't bother with such details, leveraging the power of his own faction and his position within the Direct View Association to brazenly steal the reward.
No wonder the "Ancestor of Star Spirits" was so furious, sending down its projection twice to hunt him down.
[You have used "Precious Star Memory"!]
[Your Knowledge limit has increased by 30,000! Current Knowledge: 41,500/90,800]