According to the information he already had and Sophia's hint at this moment, the head of state knew everything. The Leader relied on his own wisdom and logical thinking ability to completely restore the whole incident. Although the Leader cannot fully prove the truth of all this at this moment, the Leader has already believed all this from the bottom of his heart.
"It turns out that Brad didn't tell the truth about the Sun Crisis, and only left a blank piece of paper and some other hints... because of coercion."
Brad was probably under coercion. The heads of state's think tanks made relevant speculations early on, but there has been no strong evidence to prove this. Now, in light of the current situation, the head of state has finally affirmed this.
And who can coerce Brad? ...only possible plasma lifeforms.